{"id":161076,"date":"2024-11-03T22:17:26","date_gmt":"2024-11-03T22:17:26","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=161076"},"modified":"2024-11-03T22:17:28","modified_gmt":"2024-11-03T22:17:28","slug":"how-do-you-write-100x10-in-exponential-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/how-do-you-write-100x10-in-exponential-form\/","title":{"rendered":"How do you write 100\u00d710 in exponential form"},"content":{"rendered":"\n<p>How do you write 100\u00d710 in exponential form?<\/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<p>To express the product (100 \\times 10) in exponential form, we start by breaking down each number into its prime factorization.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding the Prime Factorization<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number (100) can be factored into primes as follows:<br>[<br>100 = 10 \\times 10 = (10^1 \\times 10^1) = 10^2<br>]<\/li>\n\n\n\n<li>The number (10) is already in its prime form, which is:<br>[<br>10 = 10^1<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Combining the Expressions<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Now, we can rewrite (100 \\times 10) using the exponential forms we derived:<br>[<br>100 \\times 10 = 10^2 \\times 10^1<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Applying the Exponential Rule<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When multiplying numbers in exponential form that have the same base, we can use the rule of exponents:<br>[<br>a^m \\times a^n = a^{m+n}<br>]<\/li>\n\n\n\n<li>Here, our base (a) is (10), and (m) and (n) correspond to the exponents (2) and (1), respectively:<br>[<br>10^2 \\times 10^1 = 10^{2+1} = 10^3<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Final Result<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Therefore, the expression (100 \\times 10) can be simplified in exponential form as:<br>[<br>100 \\times 10 = 10^3<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Exponential Notation<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Exponential notation is a way of expressing numbers that are products of the same base multiplied by itself a certain number of times. In this case, (10^3) means (10) multiplied by itself three times:<br>[<br>10^3 = 10 \\times 10 \\times 10 = 1000<br>]<\/li>\n\n\n\n<li>This notation is not only useful for simplifying calculations but also for representing large numbers in a more compact form.<\/li>\n<\/ul>\n\n\n\n<p>Thus, (100 \\times 10) in exponential form is (10^3). This illustrates the efficiency and power of using exponents in mathematics, making it easier to handle calculations involving large numbers or repeated multiplications.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>How do you write 100\u00d710 in exponential form? The Correct Answer and Explanation is: To express the product (100 \\times 10) in exponential form, we start by breaking down each number into its prime factorization. Thus, (100 \\times 10) in exponential form is (10^3). This illustrates the efficiency and power of using exponents in mathematics, [&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-161076","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161076","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=161076"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161076\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161076"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161076"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161076"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}