{"id":229624,"date":"2025-06-08T10:14:22","date_gmt":"2025-06-08T10:14:22","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229624"},"modified":"2025-06-08T10:14:24","modified_gmt":"2025-06-08T10:14:24","slug":"what-is-the-simplified-form-of-8x4-8x8-32x4-32x8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/what-is-the-simplified-form-of-8x4-8x8-32x4-32x8\/","title":{"rendered":"What is the simplified form of ? 8×4 8×8 32×4 32×8"},"content":{"rendered":"\n

What is the simplified form of ? 8×4 8×8 32×4 32×8
What is the simplified form of ? 8×4 8×8 32×4 32×8<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

ChatGPT said:<\/h6>\n\n\n\n

Let\u2019s first simplify the expression:<\/p>\n\n\n\n

Expression:<\/strong>8\u00d74\u00d78\u00d78\u00d732\u00d7432\u00d78\\frac{8 \\times 4 \\times 8 \\times 8 \\times 32 \\times 4}{32 \\times 8}32\u00d788\u00d74\u00d78\u00d78\u00d732\u00d74\u200b<\/p>\n\n\n\n

Note: The original input had unclear spacing. Interpreting it as:<\/p>\n\n\n\n

Numerator:<\/strong> 8\u00d74\u00d78\u00d78\u00d732\u00d748 \\times 4 \\times 8 \\times 8 \\times 32 \\times 48\u00d74\u00d78\u00d78\u00d732\u00d74
Denominator:<\/strong> 32\u00d7832 \\times 832\u00d78<\/p>\n\n\n\n

\n\n\n\n

Step 1: Multiply the numerator and denominator.<\/h3>\n\n\n\n

Numerator:8\u00d74\u00d78\u00d78\u00d732\u00d748 \\times 4 \\times 8 \\times 8 \\times 32 \\times 48\u00d74\u00d78\u00d78\u00d732\u00d74<\/p>\n\n\n\n

Group the like terms:<\/p>\n\n\n\n

    \n
  • 8\u00d78\u00d78=5128 \\times 8 \\times 8 = 5128\u00d78\u00d78=512<\/li>\n\n\n\n
  • 4\u00d74=164 \\times 4 = 164\u00d74=16<\/li>\n\n\n\n
  • 323232<\/li>\n<\/ul>\n\n\n\n

    So:512\u00d716\u00d732512 \\times 16 \\times 32512\u00d716\u00d732<\/p>\n\n\n\n

    Let\u2019s simplify step by step:<\/p>\n\n\n\n

      \n
    • 512\u00d716=8192512 \\times 16 = 8192512\u00d716=8192<\/li>\n\n\n\n
    • 8192\u00d732=2621448192 \\times 32 = 2621448192\u00d732=262144<\/li>\n<\/ul>\n\n\n\n

      So, numerator = 262144<\/strong><\/p>\n\n\n\n

      Denominator:32\u00d78=25632 \\times 8 = 25632\u00d78=256<\/p>\n\n\n\n

      Now divide:262144256=1024\\frac{262144}{256} = 1024256262144\u200b=1024<\/p>\n\n\n\n

      \n\n\n\n

      \u2705 Final Simplified Answer: 1024<\/strong><\/h3>\n\n\n\n
      \n\n\n\n

      \ud83d\udca1 Explanation<\/h3>\n\n\n\n

      To simplify the expression 8\u00d74\u00d78\u00d78\u00d732\u00d7432\u00d78\\frac{8 \\times 4 \\times 8 \\times 8 \\times 32 \\times 4}{32 \\times 8}32\u00d788\u00d74\u00d78\u00d78\u00d732\u00d74\u200b, we first interpret and organize it. The numerator contains a product of six numbers, while the denominator includes two. The goal is to reduce the fraction by canceling common factors.<\/p>\n\n\n\n

      The expression is a fraction, and any factor that appears both in the numerator and denominator can be simplified. This is a key property of fractions: a\u00d7ba=b\\frac{a \\times b}{a} = baa\u00d7b\u200b=b, assuming a\u22600a \\neq 0a\ue020=0. So, we look for common numbers in the numerator and denominator.<\/p>\n\n\n\n

      From the numerator, notice that 8 and 32 also appear in the denominator. One 8 in the numerator cancels with one 8 in the denominator. Similarly, one 32 cancels with one 32.<\/p>\n\n\n\n

      After canceling, the remaining terms in the numerator are:<\/p>\n\n\n\n

        \n
      • Two 8s (since there were three 8s originally)<\/li>\n\n\n\n
      • Two 4s<\/li>\n\n\n\n
      • And no more 32 or 8 from the denominator<\/li>\n<\/ul>\n\n\n\n

        So, remaining multiplication:8\u00d78\u00d74\u00d74=64\u00d716=10248 \\times 8 \\times 4 \\times 4 = 64 \\times 16 = 10248\u00d78\u00d74\u00d74=64\u00d716=1024<\/p>\n\n\n\n

        Hence, the simplified form of the expression is 1024<\/strong>.<\/p>\n\n\n\n

        This kind of simplification helps in solving complex arithmetic or algebraic expressions more efficiently. Recognizing and canceling common factors is a fundamental skill in math that improves accuracy and speed.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        What is the simplified form of ? 8×4 8×8 32×4 32×8What is the simplified form of ? 8×4 8×8 32×4 32×8 The Correct Answer and Explanation is: ChatGPT said: Let\u2019s first simplify the expression: Expression:8\u00d74\u00d78\u00d78\u00d732\u00d7432\u00d78\\frac{8 \\times 4 \\times 8 \\times 8 \\times 32 \\times 4}{32 \\times 8}32\u00d788\u00d74\u00d78\u00d78\u00d732\u00d74\u200b Note: The original input had unclear spacing. Interpreting […]<\/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-229624","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229624","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=229624"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229624\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229624"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229624"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}