{"id":8381,"date":"2017-05-25T19:01:18","date_gmt":"2017-05-25T19:01:18","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=8381"},"modified":"2019-05-24T20:21:49","modified_gmt":"2019-05-24T20:21:49","slug":"use-multiplication-properties-of-exponents","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/use-multiplication-properties-of-exponents\/","title":{"raw":"Introduction to Simplifying Expressions With Exponents","rendered":"Introduction to Simplifying Expressions With Exponents"},"content":{"raw":"<h2>What you'll learn to do: Simplify expressions using properties of exponents<\/h2>\r\nUse Multiplication Properties of Exponents\r\n\r\nBefore you get started, take this readiness quiz.\r\n<div class=\"textbox examples\">\r\n<h3>Readiness Quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]144737[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/HkPGTmAmg_s\r\n\r\n2)\r\n\r\n[ohm_question]144745[\/ohm_question]\r\n\r\nIf you missed the problem, review the example below.\r\n<div class=\"textbox shaded\">Simplify: [latex]{3}^{4}[\/latex][reveal-answer q=\"534998\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"534998\"]Solution\r\n<table id=\"eip-id1164752752096\" class=\"unnumbered unstyled\" style=\"width: 75%;\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td data-align=\"center\">[latex]{3}^{4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Expand the expression.<\/td>\r\n<td data-align=\"center\">[latex]3\\cdot 3\\cdot 3\\cdot 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply left to right.<\/td>\r\n<td data-align=\"center\">[latex]9\\cdot 3\\cdot 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td data-align=\"center\">[latex]27\\cdot 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td data-align=\"center\">[latex]81[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n3)\r\n\r\n[ohm_question]145337[\/ohm_question]\r\n\r\nIf you missed the problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/qB5PZzmjenI\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Simplify expressions using properties of exponents<\/h2>\n<p>Use Multiplication Properties of Exponents<\/p>\n<p>Before you get started, take this readiness quiz.<\/p>\n<div class=\"textbox examples\">\n<h3>Readiness Quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm144737\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144737&theme=oea&iframe_resize_id=ohm144737&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Example:  Write Repeated Multiplication in Exponential Form\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/HkPGTmAmg_s?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm144745\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144745&theme=oea&iframe_resize_id=ohm144745&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed the problem, review the example below.<\/p>\n<div class=\"textbox shaded\">Simplify: [latex]{3}^{4}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q534998\">Show Solution<\/span><\/p>\n<div id=\"q534998\" class=\"hidden-answer\" style=\"display: none\">Solution<\/p>\n<table id=\"eip-id1164752752096\" class=\"unnumbered unstyled\" style=\"width: 75%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">[latex]{3}^{4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Expand the expression.<\/td>\n<td data-align=\"center\">[latex]3\\cdot 3\\cdot 3\\cdot 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply left to right.<\/td>\n<td data-align=\"center\">[latex]9\\cdot 3\\cdot 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\">[latex]27\\cdot 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\">[latex]81[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm145337\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145337&theme=oea&iframe_resize_id=ohm145337&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed the problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex: Evaluating Negative Numbers Raised to Powers\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/qB5PZzmjenI?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-8381\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Ex: Evaluating Negative Numbers Raised to Powers. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/qB5PZzmjenI\">https:\/\/youtu.be\/qB5PZzmjenI<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li> Example: Write Repeated Multiplication in Exponential Form. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/HkPGTmAmg_s\">https:\/\/youtu.be\/HkPGTmAmg_s<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 144737, 144745, 145337. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Ex: Evaluating Negative Numbers Raised to Powers\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/qB5PZzmjenI\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\" Example: Write Repeated Multiplication in Exponential Form\",\"author\":\"James Sousa 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