(5\/4) to the power of 2 in fraction form<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The expression (\\left(\\frac{5}{4}\\right)^2) means raising the fraction (\\frac{5}{4}) to the power of 2. This involves multiplying (\\frac{5}{4}) by itself. Here’s how to solve it step by step:<\/p>\n\n\n\n [ The numerator of the resulting fraction is obtained by multiplying the numerators of the two fractions:<\/p>\n\n\n\n [ The denominator of the resulting fraction is obtained by multiplying the denominators of the two fractions:<\/p>\n\n\n\n [ After multiplying the numerators and denominators, we get the following:<\/p>\n\n\n\n [ The result of (\\left(\\frac{5}{4}\\right)^2) is:<\/p>\n\n\n\n [ Exponentiation, in this case, involves raising a fraction to a power. When you raise a fraction to a power, you apply the exponent to both the numerator and the denominator separately. Specifically, (\\left(\\frac{a}{b}\\right)^n) means that both (a) (the numerator) and (b) (the denominator) are raised to the power of (n).<\/p>\n\n\n\n For example, (\\left(\\frac{5}{4}\\right)^2) can be thought of as multiplying the fraction (\\frac{5}{4}) by itself. This results in multiplying the numerators (5 and 5) and the denominators (4 and 4) individually. This is a basic application of the laws of exponents for fractions.<\/p>\n\n\n\n The fraction (\\frac{25}{16}) cannot be simplified further since 25 and 16 do not have any common factors besides 1. Therefore, the final result is (\\frac{25}{16}), which is the simplest form of the answer.<\/p>\n","protected":false},"excerpt":{"rendered":" (5\/4) to the power of 2 in fraction form The Correct Answer and Explanation is: The expression (\\left(\\frac{5}{4}\\right)^2) means raising the fraction (\\frac{5}{4}) to the power of 2. This involves multiplying (\\frac{5}{4}) by itself. Here’s how to solve it step by step: Step 1: Write the expression [\\left(\\frac{5}{4}\\right)^2 = \\frac{5}{4} \\times \\frac{5}{4}] Step 2: Multiply […]<\/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-165267","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165267","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=165267"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165267\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=165267"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=165267"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=165267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Write the expression<\/h3>\n\n\n\n
\\left(\\frac{5}{4}\\right)^2 = \\frac{5}{4} \\times \\frac{5}{4}
]<\/p>\n\n\n\nStep 2: Multiply the numerators<\/h3>\n\n\n\n
5 \\times 5 = 25
]<\/p>\n\n\n\nStep 3: Multiply the denominators<\/h3>\n\n\n\n
4 \\times 4 = 16
]<\/p>\n\n\n\nStep 4: Simplify the result<\/h3>\n\n\n\n
\\frac{25}{16}
]<\/p>\n\n\n\nFinal Answer<\/h3>\n\n\n\n
\\frac{25}{16}
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n