{"id":248733,"date":"2025-07-08T17:40:15","date_gmt":"2025-07-08T17:40:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=248733"},"modified":"2025-07-08T17:40:17","modified_gmt":"2025-07-08T17:40:17","slug":"what-is-the-cube-root-of-64-in-exponential-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/what-is-the-cube-root-of-64-in-exponential-form\/","title":{"rendered":"What is the cube root of 64 in exponential form"},"content":{"rendered":"\n

What is the cube root of 64 in exponential form?\u00a0



64
3
<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The cube root of 64 in exponential form is expressed as: 641364^{\\frac{1}{3}}6431\u200b<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To understand this better, let\u2019s break it down step by step:<\/p>\n\n\n\n

    \n
  1. Cube Root Definition<\/strong>:
    The cube root of a number is a value that, when multiplied by itself three times, gives the original number. Mathematically, for a number xxx, its cube root is written as x3\\sqrt[3]{x}3x\u200b, which is the same as x13x^{\\frac{1}{3}}x31\u200b.<\/li>\n\n\n\n
  2. Cube Root of 64<\/strong>:
    We know that 64=4364 = 4^364=43, which means 4 raised to the power of 3 gives 64: 64=4\u00d74\u00d7464 = 4 \\times 4 \\times 464=4\u00d74\u00d74 Taking the cube root of both sides: 643=433\\sqrt[3]{64} = \\sqrt[3]{4^3}364\u200b=343\u200b Using the property of exponents x33=x\\sqrt[3]{x^3} = x3x3\u200b=x, we get: 643=4\\sqrt[3]{64} = 4364\u200b=4<\/li>\n\n\n\n
  3. Exponential Form<\/strong>:
    We can express the cube root of 64 as: 6413=(43)13=464^{\\frac{1}{3}} = (4^3)^{\\frac{1}{3}} = 46431\u200b=(43)31\u200b=4 So, the cube root of 64 is 4, and in exponential form, it\u2019s written as 641364^{\\frac{1}{3}}6431\u200b.<\/li>\n<\/ol>\n\n\n\n

    To summarize, 643\\sqrt[3]{64}364\u200b is equivalent to 641364^{\\frac{1}{3}}6431\u200b, which simplifies to 4 because 64=4364 = 4^364=43. Therefore, the cube root of 64 in exponential form is 641364^{\\frac{1}{3}}6431\u200b.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    What is the cube root of 64 in exponential form?\u00a0 643 The Correct Answer and Explanation is: The cube root of 64 in exponential form is expressed as: 641364^{\\frac{1}{3}}6431\u200b Explanation: To understand this better, let\u2019s break it down step by step: To summarize, 643\\sqrt[3]{64}364\u200b is equivalent to 641364^{\\frac{1}{3}}6431\u200b, which simplifies to 4 because 64=4364 = […]<\/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-248733","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248733","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=248733"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248733\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}