{"id":149273,"date":"2024-10-07T07:09:34","date_gmt":"2024-10-07T07:09:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149273"},"modified":"2024-10-07T07:09:37","modified_gmt":"2024-10-07T07:09:37","slug":"3-2-to-the-power-of-2-as-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/07\/3-2-to-the-power-of-2-as-fraction-in-simplest-form\/","title":{"rendered":"3\/2 to the power of 2 as fraction in simplest form"},"content":{"rendered":"\n<p>3\/2 to the power of 2 as fraction in simplest form<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is: <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-3-color\"><strong>{9}{4}<\/strong><\/mark><\/p>\n\n\n\n<p>To simplify the expression ( \\left(\\frac{3}{2}\\right)^2 ) and express it as a fraction in simplest form, we start by applying the power of a fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Apply the Power of a Fraction<\/h3>\n\n\n\n<p>When you raise a fraction to a power, you raise both the numerator and the denominator to that power. For our expression:<\/p>\n\n\n\n<p>[<br>\\left(\\frac{3}{2}\\right)^2 = \\frac{3^2}{2^2}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the Numerator and Denominator<\/h3>\n\n\n\n<p>Now we calculate the squares of the numerator and denominator:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Numerator<\/strong>:<br>[<br>3^2 = 3 \\times 3 = 9<br>]<\/li>\n\n\n\n<li><strong>Denominator<\/strong>:<br>[<br>2^2 = 2 \\times 2 = 4<br>]<\/li>\n<\/ul>\n\n\n\n<p>So, we can now rewrite the expression:<\/p>\n\n\n\n<p>[<br>\\left(\\frac{3}{2}\\right)^2 = \\frac{9}{4}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the Fraction<\/h3>\n\n\n\n<p>In this case, the fraction ( \\frac{9}{4} ) is already in simplest form because there are no common factors between the numerator (9) and the denominator (4). The number 9 can be factored into ( 3 \\times 3 ), while 4 can be factored into ( 2 \\times 2 ). Since these factors share no common prime factors, we conclude that ( \\frac{9}{4} ) is the simplest form of the fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, ( \\left(\\frac{3}{2}\\right)^2 ) simplifies to ( \\frac{9}{4} ). This result indicates that when you square ( \\frac{3}{2} ), you obtain ( \\frac{9}{4} ), which is an improper fraction. Improper fractions, like ( \\frac{9}{4} ), can also be expressed as mixed numbers. In this case, ( \\frac{9}{4} = 2 \\frac{1}{4} ) if desired. However, the simplest form as a fraction is ( \\frac{9}{4} ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3\/2 to the power of 2 as fraction in simplest form The Correct Answer and Explanation is : The correct answer is: {9}{4} To simplify the expression ( \\left(\\frac{3}{2}\\right)^2 ) and express it as a fraction in simplest form, we start by applying the power of a fraction. Step 1: Apply the Power of a [&hellip;]<\/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-149273","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149273","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=149273"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149273\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}