To find the square root of 163616^{36}1636, we can use the property of exponents and square roots.<\/p>\n\n\n\n
Step 1: Express 163616^{36}1636 in terms of powers of 2<\/h3>\n\n\n\n
First, note that 161616 is a power of 2:16=2416 = 2^416=24<\/p>\n\n\n\n
So we can rewrite 163616^{36}1636 as:1636=(24)3616^{36} = (2^4)^{36}1636=(24)36<\/p>\n\n\n\n
Step 2: Apply the power of a power rule<\/h3>\n\n\n\n
The power of a power rule states that (am)n=am\u00d7n(a^m)^n = a^{m \\times n}(am)n=am\u00d7n. Applying this rule:(24)36=24\u00d736=2144(2^4)^{36} = 2^{4 \\times 36} = 2^{144}(24)36=24\u00d736=2144<\/p>\n\n\n\n
Thus, 1636=214416^{36} = 2^{144}1636=2144.<\/p>\n\n\n\n
Step 3: Find the square root<\/h3>\n\n\n\n
The square root of a number is equivalent to raising it to the power of 12\\frac{1}{2}21\u200b. So to find the square root of 21442^{144}2144, we write:2144=2144\u00d712=272\\sqrt{2^{144}} = 2^{144 \\times \\frac{1}{2}} = 2^{72}2144\u200b=2144\u00d721\u200b=272<\/p>\n\n\n\n
Final Answer<\/h3>\n\n\n\n
The square root of 163616^{36}1636 is 2722^{72}272.<\/p>\n\n\n\n
Explanation<\/h3>\n\n\n\n
By first converting 16 into its base-2 equivalent, 16=2416 = 2^416=24, we can express 163616^{36}1636 as 21442^{144}2144. Then, taking the square root of 21442^{144}2144 involves using the rule of exponents that simplifies it to 2722^{72}272. This approach ensures that we can easily handle large exponents in exponential expressions, avoiding unnecessary complications.<\/p>\n\n\n\n What is the square root of 16^36 The Correct Answer and Explanation is: To find the square root of 163616^{36}1636, we can use the property of exponents and square roots. Step 1: Express 163616^{36}1636 in terms of powers of 2 First, note that 161616 is a power of 2:16=2416 = 2^416=24 So we can rewrite […]<\/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-246774","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246774","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=246774"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246774\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246774"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246774"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246774"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-938.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"