{"id":71944,"date":"2021-02-04T15:10:14","date_gmt":"2021-02-04T09:40:14","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71944"},"modified":"2021-02-04T15:10:19","modified_gmt":"2021-02-04T09:40:19","slug":"rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/","title":{"rendered":"RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions"},"content":{"rendered":"\n<p>The first exercise of the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-2-exponents-of-real-numbers\/\" target=\"_blank\" rel=\"noopener noreferrer\">RD Sharma Chapter 2 Exponents of Real Numbers for Class 9th<\/a> is based on the topics like- Exponents of Real Numbers Introduction, Integral Exponents of a Real Number, Positive Integral Power &amp; Negative Integral Power, and Laws of Integral Exponents. The questions in the following RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions PDF are prepared by our experts, which helps students to learn about the Exponents of Real Number in an easy way with tricks and tips.<\/p>\n<p>With the help of the RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions PDF, students do practice offline with the informative solutions, which are prepared by our experts based on the CBSE Syllabus of 9th Class for students to prepare for the exam.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69db562160672\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69db562160672\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/#download-rd-sharma-chapter-2-class-9-maths-exercise-21-solutions-pdf\" title=\"Download RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions PDF\">Download RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/#important-definitions-rd-sharma-chapter-2-class-9-maths-exercise-21-solutions\" title=\"Important Definitions RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions\">Important Definitions RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/#exponents-of-real-numbers-introduction\" title=\"Exponents of Real Numbers Introduction\">Exponents of Real Numbers Introduction<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/#rules-of-exponent-to-remember\" title=\"Rules of Exponent to Remember\">Rules of Exponent to Remember<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/#integral-exponents-of-a-real-number\" title=\"Integral Exponents of a Real Number\">Integral Exponents of a Real Number<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/#positive-integral-power-negative-integral-power\" title=\"Positive Integral Power &amp; Negative Integral Power\">Positive Integral Power &amp; Negative Integral Power<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/#laws-of-integral-exponents\" title=\"Laws of Integral Exponents\">Laws of Integral Exponents<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-2-class-9-maths-exercise-21-solutions-pdf\"><\/span>Download RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-2-Exponents-of-Real-Numbers-Exercise-2.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-2-Exponents-of-Real-Numbers-Exercise-2.1.pdf\">Solutions for Class 9 Maths Chapter 2 Exponents of Real Numbers Exercise 2.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-2-class-9-maths-exercise-21-solutions\"><\/span>Important Definitions RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Look down to know the detail about the topics and sub-topics of Chapter 2 of Class 9th Maths Exercise 2.1, \u201cExponents of Real Number.\u201d<\/p>\n<h3><span class=\"ez-toc-section\" id=\"exponents-of-real-numbers-introduction\"><\/span><strong>Exponents of Real Numbers Introduction<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The exponent means writing large numbers into a shorter form, so they become easy to read, compare, and understand.<\/p>\n<p>For Example-<\/p>\n<p>4 \u00d7 4 \u00d7 4 \u00d7 4 \u00d7 4 can be written as 4\u2075 and is read as 4 put to the power 5.<\/p>\n<p>Here the base is 4 and the exponent is 5 (the power put on 4).<\/p>\n<h4><span class=\"ez-toc-section\" id=\"rules-of-exponent-to-remember\"><\/span>Rules of Exponent to Remember<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li>Multiply \u2192 Add exponents<\/li>\n<li>Divide \u2192 Subtract exponents<\/li>\n<li>Power to a power \u2192 Multiply exponents<\/li>\n<li>Negative \u2192 Make Denominators as Numerator and Vice-Versa.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"integral-exponents-of-a-real-number\"><\/span>Integral Exponents of a Real Number<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>As we know, Real Numbers is a set of Natural Numbers, Whole Numbers, Rational Number, Irrational Numbers, Small Numbers, Large Numbers, etc.<\/p>\n<p>So, the integral exponents of a Real Number are Positive and Negative Integrals.<\/p>\n<p>For Example-<\/p>\n<p>\u00a0= y \u00d7 y \u00d7 y \u00d7 y (Here, 4 lots of y being multiplied together, whereas, \u201cy\u201d is the base and \u201c4\u201d is the exponent).<\/p>\n<h3><span class=\"ez-toc-section\" id=\"positive-integral-power-negative-integral-power\"><\/span>Positive Integral Power &amp; Negative Integral Power<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Positive Integral Power- <\/strong>A positive Integral Power of any real number is the same as the exponent of a real number. There are no changes required.<\/p>\n<p>For Example-<\/p>\n<p>= 222 = 8<\/p>\n<p>Whereas 2 is the base and 3 is the exponent of the Positive Integral Power.<\/p>\n<p><strong>NOTE-<\/strong><\/p>\n<p>For any non-zero real number \u2018a\u2019, we define = 1.<\/p>\n<p>For Example-<\/p>\n<ul>\n<li>3\u00b0 = 1<\/li>\n<li>7\u00b0 = 1<\/li>\n<\/ul>\n<p><strong>Negative Integral Power- <\/strong>For Negative Integral Power, while solving the problems, students have to make the denominator as the numerator and vice-versa (like- \u00a0=)to remove the negative integral power of any real number.<\/p>\n<p>For Example-<\/p>\n<ul>\n<li>(3\/7)-3 = (7\/3)3<\/li>\n<li>(4)-9 = (1\/4)9<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"laws-of-integral-exponents\"><\/span>Laws of Integral Exponents<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>There are four laws of integral exponents mentioned in the following points-<\/p>\n<ul>\n<li>First law: If \u2018p\u2019 is any real number and \u2018m &amp; n\u2019 are positive integers, then x \u00a0=<\/li>\n<li>Second Law: If \u2018p\u2019 is a non-zero real number and \u2018m &amp; n\u2019 are positive integers, then \/ \u00a0=<\/li>\n<li>Third law: If \u2018p\u2019 is any real number and \u2018m &amp; n\u2019 are positive integers, then ==<\/li>\n<li>Fourth Law: If \u2018p\u2019 and \u2018q\u2019 are real numbers and \u2018m &amp; n\u2019 are positive integers then = and = \/, where \u2018q\u2019 is not equal to zero.<\/li>\n<\/ul>\n<p><a href=\"https:\/\/cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">Know about the CBSE Board<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The first exercise of the RD Sharma Chapter 2 Exponents of Real Numbers for Class 9th is based on the topics like- Exponents of Real Numbers Introduction, Integral Exponents of a Real Number, Positive Integral Power &amp; Negative Integral Power, and Laws of Integral Exponents. The questions in the following RD Sharma Chapter 2 Class &#8230; <a title=\"RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 2 Class 9 Maths Exercise 2.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71945,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73411],"tags":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71944"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=71944"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71944\/revisions"}],"predecessor-version":[{"id":73391,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71944\/revisions\/73391"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71945"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71944"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71944"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71944"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}