{"id":343,"date":"2022-04-13T09:06:34","date_gmt":"2022-04-13T09:06:34","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=343"},"modified":"2024-10-23T14:35:40","modified_gmt":"2024-10-23T14:35:40","slug":"u-2-exponents-with-decimal-and-fractional-bases","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/u-2-exponents-with-decimal-and-fractional-bases\/","title":{"rendered":"U.2 Exponents with decimal and fractional bases"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Exponents with decimal and fractional bases<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><strong>Understanding Exponents with Decimal Bases<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Exponents can also be applied to decimal numbers.<\/li>\n\n\n\n<li>The rules for exponents remain the same, regardless of whether the base is an integer, decimal, or fraction.<\/li>\n<\/ul>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0.5)\u00b2 = 0.5 * 0.5 = 0.25<\/li>\n\n\n\n<li>(1.2)\u00b3 = 1.2 * 1.2 * 1.2 = 1.728<\/li>\n<\/ul>\n\n\n\n<p><strong>Understanding Exponents with Fractional Bases<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Exponents can also be applied to fractions.<\/li>\n\n\n\n<li>When raising a fraction to a power, raise both the numerator and denominator to that power.<\/li>\n<\/ul>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(2\/3)\u00b2 = (2\u00b2) \/ (3\u00b2) = 4\/9<\/li>\n\n\n\n<li>(5\/7)\u00b3 = (5\u00b3) \/ (7\u00b3) = 125\/343<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-ed8a28f288aeff50f1dbb703e6f4380c\" style=\"background-color:#e9c39e\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-07158aa03848229ed28ac24f5e10c023\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Evaluate. Write your answer as a decimal or whole number.<\/strong><\/p>\n\n\n\n<p>(0.03)<sup>2<\/sup>&nbsp;=&nbsp;_______<\/p>\n<\/div><\/div>\n\n\n\n<p>The base is 0.03 and the exponent is 2. Use 0.03 as a factor 2 times.<\/p>\n\n\n\n<p>(0.03)<sup>2<\/sup> =0.03 \u00b7 0.03=0.0009<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-76cd2995d73e3d7889c28c8ccbfb4fa9\" style=\"background-color:#ada7f0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-b9d54a735df0e93def941ba7e93c2409\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Evaluate. Write your answer as a fraction or whole number.<\/strong><\/p>\n\n\n\n<p>(1\/3<sup>)3<\/sup> =_______<\/p>\n<\/div><\/div>\n\n\n\n<p>(1\/3)<sup>3<\/sup> =1\/3&nbsp;\u00d7&nbsp;1\/3&nbsp;\u00d7&nbsp;1\/3<\/p>\n\n\n\n<p>        =1\/3 \u00d7 3 \u00d7 3<\/p>\n\n\n\n<p>           =1\/27<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-aa1dc1564af25a1e01d49c0d6b8abced\" style=\"background-color:#adeed7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-fd460455bfc9bf2ed1c6909b69422b24\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Evaluate. Write your answer as a fraction or whole number.<\/strong><\/p>\n\n\n\n<p>(1\/2)<sup>3<\/sup> =______<\/p>\n<\/div><\/div>\n\n\n\n<p>(1\/2)<sup>3<\/sup> =1\/2&nbsp;\u00d7&nbsp;1\/2&nbsp;\u00d7&nbsp;1\/2<\/p>\n\n\n\n<p>=1\/2 \u00d7 2 \u00d7 2<\/p>\n\n\n\n<p>=1\/8<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>let&#8217;s practice!<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/79939\/141\/634\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-138.png\" alt=\"\" class=\"wp-image-8115\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-138.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-138-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-138-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/79624\/625\/677\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147.png\" alt=\"\" class=\"wp-image-8116\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Exponents with decimal and fractional bases Key Notes : Understanding Exponents with Decimal Bases Examples: Understanding Exponents with Fractional Bases Examples: Learn with an example Evaluate. Write your answer as a decimal or whole number. (0.03)2&nbsp;=&nbsp;_______ The base is 0.03 and the exponent is 2. Use 0.03 as a factor 2 times. (0.03)2 =0.03 \u00b7<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/u-2-exponents-with-decimal-and-fractional-bases\/\">Continue reading <span class=\"screen-reader-text\">&#8220;U.2 Exponents with decimal and fractional bases&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-343","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=343"}],"version-history":[{"count":17,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/343\/revisions"}],"predecessor-version":[{"id":15652,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/343\/revisions\/15652"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}