The cube root of 64 in exponential form is: 641364^{\\frac{1}{3}}6431\u200b<\/p>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The cube root of a number is the value that, when multiplied by itself three times, gives the original number. Mathematically, the cube root of a number xxx is expressed as: x3=x13\\sqrt[3]{x} = x^{\\frac{1}{3}}3x\u200b=x31\u200b<\/p>\n\n\n\n
In this case, we want to find the cube root of 64. To express this in exponential form, we write: 641364^{\\frac{1}{3}}6431\u200b<\/p>\n\n\n\n
Now, to evaluate 641364^{\\frac{1}{3}}6431\u200b, we need to break 64 down into its prime factorization: 64=2664 = 2^664=26<\/p>\n\n\n\n
This is because 64 can be factored as: 64=2\u00d72\u00d72\u00d72\u00d72\u00d7264 = 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 264=2\u00d72\u00d72\u00d72\u00d72\u00d72<\/p>\n\n\n\n
So we can rewrite the cube root expression as: (26)13(2^6)^{\\frac{1}{3}}(26)31\u200b<\/p>\n\n\n\n
Now, use the exponent rule (am)n=am\u00d7n(a^m)^n = a^{m \\times n}(am)n=am\u00d7n: 26\u00d713=222^{6 \\times \\frac{1}{3}} = 2^226\u00d731\u200b=22<\/p>\n\n\n\n
Thus, the cube root of 64 is: 22=42^2 = 422=4<\/p>\n\n\n\n
So, the cube root of 64 is 4. The exponential form is 641364^{\\frac{1}{3}}6431\u200b, and the final result is: 444<\/p>\n\n\n\n What is the cube root of 64 in exponential form 64 1\/3 The Correct Answer and Explanation is: The cube root of 64 in exponential form is: 641364^{\\frac{1}{3}}6431\u200b Explanation: The cube root of a number is the value that, when multiplied by itself three times, gives the original number. Mathematically, the cube root of a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-248691","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248691","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=248691"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248691\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248691"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248691"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-294.jpeg\")
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