{"id":155029,"date":"2024-10-15T18:00:41","date_gmt":"2024-10-15T18:00:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=155029"},"modified":"2024-10-15T18:00:43","modified_gmt":"2024-10-15T18:00:43","slug":"what-is-5-to-the-4-power-in-expanded-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/15\/what-is-5-to-the-4-power-in-expanded-form\/","title":{"rendered":"What is -5 to the 4 power in expanded form"},"content":{"rendered":"\n

What is -5 to the 4 power in expanded form<\/p>\n\n\n\n

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

The correct answer is: 625<\/strong><\/mark><\/p>\n\n\n\n

To calculate ((-5)^4) in expanded form, we start by expressing the base, (-5), multiplied by itself four times:<\/p>\n\n\n\n

[
(-5)^4 = (-5) \\times (-5) \\times (-5) \\times (-5)
]<\/p>\n\n\n\n

Now, let\u2019s evaluate this step-by-step.<\/p>\n\n\n\n

    \n
  1. First Multiplication<\/strong>:
    [
    (-5) \\times (-5) = 25
    ]
    When multiplying two negative numbers, the result is positive.<\/li>\n\n\n\n
  2. Second Multiplication<\/strong>:
    [
    25 \\times (-5) = -125
    ]
    Multiplying a positive number by a negative number gives a negative result.<\/li>\n\n\n\n
  3. Third Multiplication<\/strong>:
    [
    -125 \\times (-5) = 625
    ]
    Again, multiplying two negative numbers results in a positive product.<\/li>\n<\/ol>\n\n\n\n

    Putting it all together, we have:
    [
    (-5)^4 = 625
    ]<\/p>\n\n\n\n

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

    When calculating a number raised to a power, you multiply the base by itself as many times as indicated by the exponent. In this case, the base is (-5) and the exponent is (4), meaning we multiply (-5) by itself four times.<\/p>\n\n\n\n

    The key to understanding this operation is recognizing how multiplication of positive and negative numbers works. A negative number multiplied by another negative number results in a positive number, while a positive number multiplied by a negative number results in a negative number. Therefore, when raising (-5) to the fourth power, we first create a positive result by multiplying the first two factors and then alternate between negative and positive results with each multiplication step.<\/p>\n\n\n\n

    This example also illustrates the concept of even and odd exponents. Any negative base raised to an even power (like (4)) will always yield a positive result, while a negative base raised to an odd power would result in a negative number. Thus, ((-5)^4) results in (625), demonstrating how exponents influence the sign of the product.<\/p>\n","protected":false},"excerpt":{"rendered":"

    What is -5 to the 4 power in expanded form The Correct Answer and Explanation is : The correct answer is: 625 To calculate ((-5)^4) in expanded form, we start by expressing the base, (-5), multiplied by itself four times: [(-5)^4 = (-5) \\times (-5) \\times (-5) \\times (-5)] Now, let\u2019s evaluate this step-by-step. Putting […]<\/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-155029","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155029","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=155029"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155029\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=155029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=155029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=155029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}