{"id":2102,"date":"2022-04-26T08:40:29","date_gmt":"2022-04-26T08:40:29","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2102"},"modified":"2024-01-01T16:23:51","modified_gmt":"2024-01-01T16:23:51","slug":"base-of-an-exponent-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent","title":{"rendered":"Base of an Exponent &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-7e35d06d-25fd-4508-b153-664245b7869f\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent#0-base-of-an-exponent-introduction>Base of an Exponent &#8211; Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent#1-what-is-an-exponent-in-math->What is an Exponent in Math?&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent#3-negative-bases>Negative Bases<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent#6-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent#7-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent#8-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-base-of-an-exponent-introduction\">Base of an Exponent &#8211; Introduction<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"448\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/one-million-written-as-a-number.png\" alt=\"One million written as a number\" class=\"wp-image-37121\" title=\"One million written as a number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/one-million-written-as-a-number.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/one-million-written-as-a-number-300x216.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Wow, that\u2019s a lot of zeros following the number 1. One million is a huge number! It can also be written as $10 \\times 10 \\times 10 \\times 10 \\times 10 \\times 10$. But there has to be a simpler way of writing it. We are in luck. The concept of \u201c<strong>Base<\/strong> and <strong>Exponent\u201d<\/strong> is mainly introduced to make reading and writing such huge numbers easier.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-100-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_multiples_100_model_pt.png\" alt=\"Add Multiples of 100 Using Base-10 Blocks Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 100 Using Base-10 Blocks Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_2d_model_pt.png\" alt=\"Add Using Base-10 blocks Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Using Base-10 blocks Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-product-for-the-multiplication-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_mult_match_4dby1d_fluently_pt.png\" alt=\"Choose the Correct Product for the Multiplication Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Product for the Multiplication Expressions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-equivalent-value-based-on-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/place_value_relate_value_diff_places_pt.png\" alt=\"Choose the Equivalent Value Based on Place Value Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Equivalent Value Based on Place Value Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-missing-number-in-the-multiplication-solution\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_find_missing_2dby1d_pt.png\" alt=\"Choose the Missing Number in the Multiplication Solution Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Missing Number in the Multiplication Solution Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-multiplication-expression-representing-fraction-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_represent_mult_unit_by_whole_pt.png\" alt=\"Choose the Multiplication Expression Representing Fraction Models Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Multiplication Expression Representing Fraction Models Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-product-for-the-multiplication-questions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_find_product_4dby1d_1_pt.png\" alt=\"Choose the Product for the Multiplication Questions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Product for the Multiplication Questions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-to-complete-each-of-the-multiplication-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_mult_match_3dby1d_fluently_pt.png\" alt=\"Choose to Complete each of the Multiplication Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose to Complete each of the Multiplication Expressions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-decimal-multiplication-pattern\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_mul_div_complete_mul_pattern_pt.png\" alt=\"Complete the Decimal Multiplication Pattern Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Decimal Multiplication Pattern Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-multiplication-between-fractions-and-whole-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_complete_multiplication_pt.png\" alt=\"Complete the Multiplication Between Fractions and Whole Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Multiplication Between Fractions and Whole Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-what-is-an-exponent-in-math-\">What is an Exponent in Math?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">An <strong>exponent <\/strong>shows how many times we multiply a number by itself. We can use them to represent not only very large numbers but also very small numbers. So, what is the base of an exponent? Let\u2019s understand with an example.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"447\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/one-million-written-using-a-base-and-exponent.png\" alt=\"One million written using a base and exponent\" class=\"wp-image-37122\" title=\"One million written using a base and exponent\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/one-million-written-using-a-base-and-exponent.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/one-million-written-using-a-base-and-exponent-300x216.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Let us go back to the number we began with. One million, $1,000,000$, or $10 \\times 10 \\times 10 \\times 10 \\times 10 \\times 10$. Using exponents, this number is written as $10^6$. In $10^6$, the number 10 is called the <strong>base<\/strong>, and 6 is the <strong>exponent<\/strong> of the expression. So, the <strong>exponent<\/strong> is a number or letter written above and to the right of a mathematical expression, which is the <strong>base<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To recap, the <strong>exponent<\/strong> of a number says how many times to use a <strong>base<\/strong> number in multiplication. It is written as a small number in the top right corner of the <strong>base<\/strong> number. We want to explore and know all about this <strong>base <\/strong>number. Let\u2019s begin!<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-multiples-of-10-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-multiples-of-10-using-base-10-blocks.jpeg\" alt=\"Add Multiples of 10 using Base 10 Blocks Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/addition-and-multiplication-expression-for-array\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/addition-and-multiplication-expression-for-array.jpeg\" alt=\"Addition and Multiplication Expression for Array Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/addition-and-multiplication-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/addition-and-multiplication-expressions.jpeg\" alt=\"Addition and Multiplication Expressions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/apply-multiplication-in-everyday-life\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/apply-multiplication-in-everyday-life.jpeg\" alt=\"Apply Multiplication in Everyday Life Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/break-the-multiplication-expression\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/break-the-multiplication-expression.jpeg\" alt=\"Break the Multiplication Expression Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/choose-your-own-multiplication-strategy\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/choose-your-own-multiplication-strategy.jpeg\" alt=\"Choose Your own Multiplication Strategy Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/commutative-property-of-multiplication\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/commutative-property-of-multiplication.jpeg\" alt=\"Commutative Property of Multiplication Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-the-multiplication-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-the-multiplication-expressions.jpeg\" alt=\"Compare the Multiplication Expressions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-using-base-10-blocks.jpeg\" alt=\"Compare Using Base-10 Blocks Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/comparing-multiplication-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/comparing-multiplication-expressions.jpeg\" alt=\"Comparing Multiplication Expressions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-base-of-an-exponent-definition\">Base of an Exponent Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The <strong>base of an exponent <\/strong>is a number that is raised to a certain power.&nbsp;So, the base of an exponent represents the number that is multiplied by itself.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The <strong>exponent<\/strong> represents how many times the base number is multiplied.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The <strong>power<\/strong> can be defined as the number obtained by raising the base number to the exponent. So, it refers to the complete expression.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"417\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/base-exponent-and-power.png\" alt=\"Base, exponent, and power\" class=\"wp-image-37124\" title=\"Base, exponent, and power\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/base-exponent-and-power.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/base-exponent-and-power-300x202.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">So, in the power $a^n$, the letter \u201ca\u201d is the<strong> base<\/strong>. The letter n is the <strong>exponent<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">It means that a is multiplied by itself n number of times.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let us now look at some examples to understand the concept of \u2018base of an exponent\u2019 better.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"358\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-the-base-exponent-and-power.png\" alt=\"Identifying the base, exponent, and power\" class=\"wp-image-37125\" title=\"Identifying the base, exponent, and power\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-the-base-exponent-and-power.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-the-base-exponent-and-power-300x173.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In $3^2$, 3 is the <strong>base<\/strong>, and 2 is the <strong>exponent.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the power can be read as $8^3$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To get the solution for $8^3$, you can multiply 8 by itself three times.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$8^3 = 8 \\times 8 \\times 8 = 512$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x^n$ can be read in many ways.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">x to the power of n<\/li>\n\n\n\n<li class=\"eplus-wrapper\">x raised to n<\/li>\n\n\n\n<li class=\"eplus-wrapper\">x to the n<\/li>\n\n\n\n<li class=\"eplus-wrapper\">x to the nth power<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-negative-bases\">Negative Bases<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s discuss examples where the base is negative.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We can discuss two cases here.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Case 1: If the base is negative and the exponent is an even number, the power is positive.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(\u22125)^2= (\u22125) \\times (\u22125) = 25$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(\u22122)^4 = (\u22122) \u00d7\\times&nbsp; (\u22122) \\times (\u22122) \\times (\u22122) = 16$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Case 2: If the base is negative and the exponent is an odd number, the power is negative.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(\u22125)^3 = (\u22125) \\times (\u22125) \\times (\u22125) = \u2212125$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(\u22122)^5 = (\u22122) \\times&nbsp; (\u22122) \\times (\u22122) \\times (\u22122) \\times (\u22122) = \u221232$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Important Note:<\/strong> Be Careful!<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(\u2212a)^n$ is <strong>not<\/strong> equal to $\u2212a^n$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(\u22126)^2 = (\u22126) \u00d7\\times (\u22126) = 36$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the base is $\u22126$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$\u22126^2 = \u2212(6 \\times 6) = \u221236$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the base is 6.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s summarize.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"575\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rules-of-exponents-with-negative-bases.png\" alt=\"Rules of exponents with negative bases\" class=\"wp-image-37126\" title=\"Rules of exponents with negative bases\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rules-of-exponents-with-negative-bases.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rules-of-exponents-with-negative-bases-300x278.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-negative-exponents\">Negative Exponents<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">For a non-zero integer a, $a^-n$ represents the reciprocal of a<sup>n<\/sup>, which equals $\\frac{1}{a^n}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, $a^-n$&nbsp;is $\\frac{1}{a}$<sup> <\/sup>multiplied \u201cn\u201d number of times.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In other words, the negative exponent describes how many times we have to multiply the reciprocal of the base.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"623\" height=\"415\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rules-of-negative-exponents.png\" alt=\"Rules of negative exponents\" class=\"wp-image-37127\" style=\"width:623px;height:415px\" title=\"Rules of negative exponents\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rules-of-negative-exponents.png 623w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rules-of-negative-exponents-300x200.png 300w\" sizes=\"auto, (max-width: 623px) 100vw, 623px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Examples:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$16^-2 = \\frac{1}{16-^-2} = \\frac{1}{16} \\times \\frac{1}{16} = \\frac{1}{256}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{1}{10^- 3} = 10^3 =10 \\times 10 \\times 10 = 1000$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Take a look at a few more examples and revise the base, power, and exponents.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"429\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/examples-of-base-power-and-exponent.png\" alt=\"Examples of base, power, and exponent\" class=\"wp-image-37128\" title=\"Examples of base, power, and exponent\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/examples-of-base-power-and-exponent.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/examples-of-base-power-and-exponent-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-interesting-facts-about-exponents-and-their-bases\">Interesting Facts about Exponents and Their Bases<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The word <strong>exponent<\/strong> was coined in 1544 by&nbsp;<strong>Michael Stifel<\/strong>.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">In the late sixteenth century, Jost B\u00fcrgi used Roman numerals for <strong>exponents<\/strong>.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">A base with 0 as its power is always equal to 1.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">Example: $90^\\circ = 1$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Any number raised to the power 1 is always equal to that number.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">Example: $17^1 = 17$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$x^2$ is also read as x square and $x^3$ is also read as $x$ cube.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Identify the bases and exponents of the following:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>a)<\/strong> $2^9$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>b<\/strong>) $12^12$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>c) <\/strong>$2^n$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>a)<\/strong> In $2^9,&nbsp;2$ is the base and 9 is the exponent.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>b)<\/strong> In $12^12$, the base and the exponent are the same: the number 12.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>c)<\/strong> In $2^n, 2$ is the base, and n is the exponent<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. What is the exponential form of the number 729? Identify its base and exponent.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>729 can be written as $3 \\times 3 \\times 3 \\times 3 \\times 3 \\times 3 = 3^6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3 is the base, and 6 is the exponent<\/p>\n\n\n\n<p class=\"eplus-wrapper\">This means that the base 3 is multiplied by itself 6 times to equal 729.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Which is greater, the base 2 to the power of 6 or the base 6 to the power of 2?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>The base 2 to the power of 6 is $2^6$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2^6$ can be written as $2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 = 64$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The base 6 to the power of 2 is $6^2$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$6^2$ can be written as $6 \\times 6 = 36$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the base 2 to the power of 6 is greater than the base 6 to the power of 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, $2^6 &gt; 6^6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Is <\/strong>$\u22129^2$<strong> the same as <\/strong>$(\u22129)^2$<strong>? Explain why or why not.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\u22129^2$ is not the same as $(\u22129)^2$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\u22129^2 = \u2212(9 \\times 9)= \u2212 81$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the base is 9.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(\u22129)^2 = (\u22129) \\times (\u22129)=81$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the base is $\u22129$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. What is the reciprocal of <\/strong><strong>4<\/strong><strong>9<\/strong><strong>?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> For a non-zero integer a, $a^-n$ represents the reciprocal of $a^n$, which equals $\\frac{1}{a^n}$.So, the reciprocal of $4^9$ is $4^-9 = \\frac{1}{4^9}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Base of an Exponent - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Write this expression using a base and an exponent: $7 \\times 7 \\times 7 \\times 7$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$4^7$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$7^4$<\/div><div class=\"spq_answer_block\" data-value=\"2\">16384<\/div><div class=\"spq_answer_block\" data-value=\"3\">2401<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $7^4$<br\/>$7 \\times 7 \\times 7 \\times 7 = 7^4$. The number 7 has been multiplied by itself 4 times. In other words, the base 7 has been raised to 4.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Identify the base of $(-11)^7$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$-11$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$11$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$7$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-7$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $-11$<br\/>$-11$ is the base, and 7 is the exponent<br>\r\nThis means that the base $-11$ is multiplied by itself 7 times.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the value of $12^3$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1278<\/div><div class=\"spq_answer_block\" data-value=\"1\">1872<\/div><div class=\"spq_answer_block\" data-value=\"2\">1728<\/div><div class=\"spq_answer_block\" data-value=\"3\">1827<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 1728<br\/>$12^3 = 12 \\times 12 \\times 12  = 1728$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the value of the base 1 to the power of 57?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">57<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">0<\/div><div class=\"spq_answer_block\" data-value=\"3\">56<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 1<br\/>1 to the power of $57 = 1^{57}$. This means that the base 1 is multiplied by itself 57 times. 1 multiplied by itself any number of times will result only in 1.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the value of $6^-2$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">36<\/div><div class=\"spq_answer_block\" data-value=\"1\">64<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{36}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{64}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{36}$<br\/>$6^-2 = \\frac{1}{6^2} = \\frac{1}{36}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Base of an Exponent - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Base of an Exponent - Definition with Examples\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Write this expression using a base and an exponent: $$7 \\\\times 7 \\\\times 7 \\\\times 7$$\",\n                    \"text\": \"Write this expression using a base and an exponent: $$7 \\\\times 7 \\\\times 7 \\\\times 7$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$7 \\\\times 7 \\\\times 7 \\\\times 7 = 7^4$$. The number 7 has been multiplied by itself 4 times. In other words, the base 7 has been raised to 4.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$4^7$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$7 \\\\times 7 \\\\times 7 \\\\times 7 = 7^4$$. The number 7 has been multiplied by itself 4 times. In other words, the base 7 has been raised to 4.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16384\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$7 \\\\times 7 \\\\times 7 \\\\times 7 = 7^4$$. The number 7 has been multiplied by itself 4 times. In other words, the base 7 has been raised to 4.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2401\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$7 \\\\times 7 \\\\times 7 \\\\times 7 = 7^4$$. The number 7 has been multiplied by itself 4 times. In other words, the base 7 has been raised to 4.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$7^4$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$7 \\\\times 7 \\\\times 7 \\\\times 7 = 7^4$$. The number 7 has been multiplied by itself 4 times. In other words, the base 7 has been raised to 4.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$7 \\\\times 7 \\\\times 7 \\\\times 7 = 7^4$$. The number 7 has been multiplied by itself 4 times. In other words, the base 7 has been raised to 4.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the base of $$(-11)^7$$.\",\n                    \"text\": \"Identify the base of $$(-11)^7$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$-11$$ is the base, and 7 is the exponent<br>\r\nThis means that the base $$-11$$ is multiplied by itself 7 times.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$11$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-11$$ is the base, and 7 is the exponent<br>\r\nThis means that the base $$-11$$ is multiplied by itself 7 times.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-11$$ is the base, and 7 is the exponent<br>\r\nThis means that the base $$-11$$ is multiplied by itself 7 times.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-7$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-11$$ is the base, and 7 is the exponent<br>\r\nThis means that the base $$-11$$ is multiplied by itself 7 times.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$-11$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$-11$$ is the base, and 7 is the exponent<br>\r\nThis means that the base $$-11$$ is multiplied by itself 7 times.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$-11$$ is the base, and 7 is the exponent<br>\r\nThis means that the base $$-11$$ is multiplied by itself 7 times.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the value of $$12^3$$?\",\n                    \"text\": \"What is the value of $$12^3$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$12^3 = 12 \\\\times 12 \\\\times 12  = 1728$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1278\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$12^3 = 12 \\\\times 12 \\\\times 12  = 1728$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1872\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$12^3 = 12 \\\\times 12 \\\\times 12  = 1728$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1827\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$12^3 = 12 \\\\times 12 \\\\times 12  = 1728$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1728\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$12^3 = 12 \\\\times 12 \\\\times 12  = 1728$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$12^3 = 12 \\\\times 12 \\\\times 12  = 1728$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the value of the base 1 to the power of 57?\",\n                    \"text\": \"What is the value of the base 1 to the power of 57?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"1 to the power of $$57 = 1^{57}$$. This means that the base 1 is multiplied by itself 57 times. 1 multiplied by itself any number of times will result only in 1.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"57\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"1 to the power of $$57 = 1^{57}$$. This means that the base 1 is multiplied by itself 57 times. 1 multiplied by itself any number of times will result only in 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"1 to the power of $$57 = 1^{57}$$. This means that the base 1 is multiplied by itself 57 times. 1 multiplied by itself any number of times will result only in 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"56\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"1 to the power of $$57 = 1^{57}$$. This means that the base 1 is multiplied by itself 57 times. 1 multiplied by itself any number of times will result only in 1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"1 to the power of $$57 = 1^{57}$$. This means that the base 1 is multiplied by itself 57 times. 1 multiplied by itself any number of times will result only in 1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"1 to the power of $$57 = 1^{57}$$. This means that the base 1 is multiplied by itself 57 times. 1 multiplied by itself any number of times will result only in 1.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the value of $$6^-2$$?\",\n                    \"text\": \"What is the value of $$6^-2$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$6^-2 = \\\\frac{1}{6^2} = \\\\frac{1}{36}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"36\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6^-2 = \\\\frac{1}{6^2} = \\\\frac{1}{36}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"64\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6^-2 = \\\\frac{1}{6^2} = \\\\frac{1}{36}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{64}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6^-2 = \\\\frac{1}{6^2} = \\\\frac{1}{36}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{36}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$6^-2 = \\\\frac{1}{6^2} = \\\\frac{1}{36}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$6^-2 = \\\\frac{1}{6^2} = \\\\frac{1}{36}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-5262a256-e73c-402b-a771-45b05336fe8b\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-5262a256-e73c-402b-a771-45b05336fe8b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5262a256-e73c-402b-a771-45b05336fe8b\"><strong>Why are exponents important?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-5262a256-e73c-402b-a771-45b05336fe8b\">\n\n<p class=\"eplus-wrapper\">Exponents are very useful in simply writing the values of numbers. Repeated multiplication is written in an easy way using the help of exponents.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Exponents are important because it is very difficult to write the product when a number is repeated by itself many times. It is so much easier to write 4\u2078&nbsp;than to write $4 \\times 4 \\times 4 \\times 4 \\times 4 \\times 4 \\times 4 \\times 4$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-5262a256-e73c-402b-a771-45b05336fe8b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5262a256-e73c-402b-a771-45b05336fe8b\"><strong>What is a rational exponent?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-5262a256-e73c-402b-a771-45b05336fe8b\">\n\n<p class=\"eplus-wrapper\">Rational exponents are exponents that are rational numbers.Examples: $7^\\frac{2}{3}$, $15^\\frac{1}{3}$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-5262a256-e73c-402b-a771-45b05336fe8b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5262a256-e73c-402b-a771-45b05336fe8b\"><strong>How do you write the base of an exponent?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-5262a256-e73c-402b-a771-45b05336fe8b\">\n\n<p class=\"eplus-wrapper\">The exponent is written higher than the base. Its size is smaller than that of the base. The exponent is written to the right of the base number.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-5262a256-e73c-402b-a771-45b05336fe8b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5262a256-e73c-402b-a771-45b05336fe8b\"><strong>What is the difference between a power and an exponent?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-5262a256-e73c-402b-a771-45b05336fe8b\">\n\n<p class=\"eplus-wrapper\">Let\u2019s understand the difference using an example.&nbsp;In $2^3, 3$ is the exponent, 2 is the base and the whole expression $2^3$ is the power.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-5262a256-e73c-402b-a771-45b05336fe8b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5262a256-e73c-402b-a771-45b05336fe8b\"><strong>Can exponents and bases be negative?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-5262a256-e73c-402b-a771-45b05336fe8b\">\n\n<p class=\"eplus-wrapper\">Yes. Exponents and bases can be negative.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Examples: In $(-5)^2$, the base is $(-5)$.In $8^-3$, the exponent is $-3$.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Base of an Exponent &#8211; Introduction Wow, that\u2019s a lot of zeros following the number 1. One million is a huge number! It can also be written as $10 \\times 10 \\times 10 \\times 10 \\times 10 \\times 10$. But there has to be a simpler way of writing it. We are in luck. The &#8230; <a title=\"Base of an Exponent &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/base-of-an-exponent\" aria-label=\"More on Base of an Exponent &#8211; Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-2102","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2102","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=2102"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2102\/revisions"}],"predecessor-version":[{"id":37129,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2102\/revisions\/37129"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2102"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2102"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2102"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}