{"id":168965,"date":"2024-11-18T19:54:45","date_gmt":"2024-11-18T19:54:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168965"},"modified":"2024-11-18T19:54:58","modified_gmt":"2024-11-18T19:54:58","slug":"write-and-expression-using-an-exponent-equivalent-to-5x5x5x5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/18\/write-and-expression-using-an-exponent-equivalent-to-5x5x5x5\/","title":{"rendered":"Write and expression using an exponent equivalent to 5x5x5x5"},"content":{"rendered":"\n<p>Write and expression using an exponent equivalent to 5x5x5x5<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Expression Using an Exponent:<\/h3>\n\n\n\n<p>The expression equivalent to ( 5 \\times 5 \\times 5 \\times 5 ) is written as ( 5^4 ). This is because the base, ( 5 ), is multiplied by itself ( 4 ) times.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>The value of ( 5^4 ) is:<\/p>\n\n\n\n<p>[<br>5^4 = 5 \\times 5 \\times 5 \\times 5 = 25 \\times 5 = 125 \\times 5 = 625<br>]<\/p>\n\n\n\n<p>Thus, ( 5^4 = 625 ).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Exponents, also called powers, are a shorthand way to express repeated multiplication of a number by itself. In the expression ( 5^4 ):<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Base<\/strong> (( 5 )): The number being multiplied repeatedly.<\/li>\n\n\n\n<li><strong>Exponent<\/strong> (( 4 )): The number of times the base is multiplied by itself.<\/li>\n<\/ol>\n\n\n\n<p>The exponent tells us to use the base as a factor ( 4 ) times. This simplifies long multiplication, making it easier to write and calculate. Instead of ( 5 \\times 5 \\times 5 \\times 5 ), we use ( 5^4 ), which is more compact.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Calculation Step-by-Step:<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Start with ( 5 \\times 5 = 25 ).<\/li>\n\n\n\n<li>Multiply ( 25 ) by ( 5 ), resulting in ( 125 ).<\/li>\n\n\n\n<li>Multiply ( 125 ) by ( 5 ), resulting in ( 625 ).<\/li>\n<\/ol>\n\n\n\n<p>So, ( 5^4 = 625 ).<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Importance of Exponents:<\/h4>\n\n\n\n<p>Exponents are widely used in mathematics and science to simplify calculations involving large numbers, such as in areas like physics, engineering, and computer science. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In geometry, exponents are used to calculate areas and volumes, such as ( r^2 ) for the area of a circle.<\/li>\n\n\n\n<li>In finance, they represent compound interest over time, such as ( (1 + r)^n ).<\/li>\n<\/ul>\n\n\n\n<p>Understanding exponents is essential for advancing in algebra and other higher-level math topics, as they form the foundation for working with polynomials, logarithms, and exponential functions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write and expression using an exponent equivalent to 5x5x5x5 The Correct Answer and Explanation is: Expression Using an Exponent: The expression equivalent to ( 5 \\times 5 \\times 5 \\times 5 ) is written as ( 5^4 ). This is because the base, ( 5 ), is multiplied by itself ( 4 ) times. Correct [&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-168965","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168965","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=168965"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168965\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}