{"id":162299,"date":"2024-11-06T17:03:06","date_gmt":"2024-11-06T17:03:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162299"},"modified":"2024-11-06T17:03:08","modified_gmt":"2024-11-06T17:03:08","slug":"2-to-the-power-of-9-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/06\/2-to-the-power-of-9-is\/","title":{"rendered":"2 to the power of 9 is"},"content":{"rendered":"\n

2 to the power of 9 is?<\/p>\n\n\n\n

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

The value of 2 raised to the power of 9 (2^9) is 512<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

The expression 2^9 means that you multiply the number 2 by itself 9 times. This is an example of exponential notation, where the base is 2 and the exponent (also called the power) is 9. To break it down:<\/p>\n\n\n\n

2^9 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<\/p>\n\n\n\n

Now, let’s compute this step by step:<\/p>\n\n\n\n

    \n
  1. 2^1 = 2<\/strong><\/li>\n\n\n\n
  2. 2^2 = 2 \u00d7 2 = 4<\/strong><\/li>\n\n\n\n
  3. 2^3 = 2 \u00d7 2 \u00d7 2 = 8<\/strong><\/li>\n\n\n\n
  4. 2^4 = 2 \u00d7 2 \u00d7 2 \u00d7 2 = 16<\/strong><\/li>\n\n\n\n
  5. 2^5 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 32<\/strong><\/li>\n\n\n\n
  6. 2^6 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 64<\/strong><\/li>\n\n\n\n
  7. 2^7 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 128<\/strong><\/li>\n\n\n\n
  8. 2^8 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 256<\/strong><\/li>\n\n\n\n
  9. 2^9 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 512<\/strong><\/li>\n<\/ol>\n\n\n\n

    Thus, 2 raised to the power of 9 equals 512.<\/p>\n\n\n\n

    Key Concept: Exponentiation<\/h3>\n\n\n\n

    Exponentiation is a mathematical operation where a number (called the base) is multiplied by itself a certain number of times, as indicated by the exponent. In the case of 2^9:<\/p>\n\n\n\n

      \n
    • Base<\/strong>: 2 (this is the number that will be multiplied by itself)<\/li>\n\n\n\n
    • Exponent<\/strong>: 9 (this indicates how many times the base is multiplied by itself)<\/li>\n<\/ul>\n\n\n\n

      Exponentiation is a fundamental operation in mathematics and is commonly used in algebra, computer science, physics, and many other fields. Powers of 2, such as 2^9, are especially significant in areas such as digital computing, where binary (base-2) numbers are used to represent data.<\/p>\n\n\n\n

      In summary, 2^9 = 512<\/strong>, and exponentiation represents repeated multiplication of the base number.<\/p>\n","protected":false},"excerpt":{"rendered":"

      2 to the power of 9 is? The Correct Answer and Explanation is: The value of 2 raised to the power of 9 (2^9) is 512. Explanation: The expression 2^9 means that you multiply the number 2 by itself 9 times. This is an example of exponential notation, where the base is 2 and the […]<\/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-162299","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162299","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=162299"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162299\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162299"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162299"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162299"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}