{"id":73554,"date":"2021-02-05T22:49:52","date_gmt":"2021-02-05T17:19:52","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73554"},"modified":"2021-02-05T22:50:18","modified_gmt":"2021-02-05T17:20:18","slug":"rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions\/","title":{"rendered":"RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions"},"content":{"rendered":"\n<p>In the RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions, students will get information about- Rational Exponents of Real Number, the nth root of a positive real number, Rational Powers, Laws of rational exponents in detail. For practice, students can prefer the following RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions PDF, prepared by our best faculties with easy and detailed solutions.<\/p>\n<p>In this Exercise 2.2 of class 9 Maths, we are providing the tricks, tips, easy formulas to solve the questions speedily. The topics are all about the square roots, cube roots, and the law to rational exponents.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-2-exponents-of-real-numbers\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Class 9 Chapter 2 (Exponents of Real Numbers)<\/strong><\/a><\/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-69e47c84a002c\" 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-69e47c84a002c\"><\/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-2-2-solutions\/#download-rd-sharma-chapter-2-class-9-maths-exercise-22-solutions-pdf\" title=\"Download RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions PDF\">Download RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 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-2-2-solutions\/#important-definitions-rd-sharma-chapter-2-class-9-maths-exercise-22-solutions\" title=\"Important Definitions RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions\">Important Definitions RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 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-2-2-solutions\/#rational-exponents\" title=\"Rational Exponents\">Rational Exponents<\/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-2-2-solutions\/#whole-number-exponent\" title=\"Whole Number Exponent\">Whole Number Exponent<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions\/#fractional-exponent\" title=\"Fractional Exponent\">Fractional Exponent<\/a><\/li><\/ul><\/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-2-2-solutions\/#the-nth-root-of-a-positive-real-number\" title=\"The nth root of a positive real number\">The nth root of a positive real number<\/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-2-2-solutions\/#laws-of-rational-exponents\" title=\"Laws of Rational Exponents\">Laws of Rational Exponents<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions\/#multiplying-of-powers-with-the-same-base\" title=\"Multiplying of Powers with the Same Base\">Multiplying of Powers with the Same Base<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions\/#dividing-powers-with-the-same-base\" title=\"Dividing Powers with the Same Base\">Dividing Powers with the Same Base<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions\/#negative-exponents\" title=\"Negative Exponents\">Negative Exponents<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions\/#power-with-exponent-zero\" title=\"Power with Exponent Zero\">Power with Exponent Zero<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-2-class-9-maths-exercise-22-solutions-pdf\"><\/span>Download RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 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\/02\/Solutions-for-Class-9-Maths-Chapter-2-Exponents-of-Real-Numbers-Exercise-2.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-2-Exponents-of-Real-Numbers-Exercise-2.2.pdf\">Solutions for Class 9 Maths Chapter 2 Exponents of Real Numbers Exercise 2.2<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-2-class-9-maths-exercise-22-solutions\"><\/span>Important Definitions RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>As we told above, we are providing a brief on the topics. Find the complete details in the below points with examples.<\/p>\n<ol>\n<li>Rational Exponents<\/li>\n<li>The nth root of a positive real number<\/li>\n<li>Laws of rational exponents<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"rational-exponents\"><\/span><strong>Rational Exponents<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Rational Exponents are also known as \u201cRadicals.\u201d This includes-<\/p>\n<ul>\n<li>Whole Number Exponent<\/li>\n<li>Fractional Exponent<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"whole-number-exponent\"><\/span><strong>Whole Number Exponent<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>The exponent of a number states how many times to apply for the number in a multiplication.<\/p>\n<p><strong>For Example-<\/strong><\/p>\n<ol>\n<li>7\u00b2 = 7 \u00d7 7 = 49<\/li>\n<li>4\u00b3 = 4 \u00d7 4 \u00d7 4 = 64<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"fractional-exponent\"><\/span><strong>Fractional Exponent<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>As we know, the square of power doubles the exponent. But, the fractional exponent works conversely. The square of power becomes half the exponent.<\/p>\n<p><strong>For Example-<\/strong><\/p>\n<p>The square root of p\u00b9 is equal to p\u00bd. In other words, p\u00b9= \u221ap<\/p>\n<p>Similarly, the cube of power is the exponent multiplied by 3. In fractional exponent, the cube of power is the exponent divided by 3.<\/p>\n<p><strong>For Example-<\/strong><\/p>\n<p>The cube root of <img class=\"alignnone size-full wp-image-73557\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-1.png\" alt=\"RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions\" width=\"183\" height=\"33\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"the-nth-root-of-a-positive-real-number\"><\/span><strong>The nth root of a positive real number<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The &#8220;nth Root&#8221; applied \u2018n\u2019 times in a multiplication provides the original value in which the 2nd root is the square root and the 3rd root is the cube root.<\/p>\n<p>The root can be 2nd, 4th, 8th, 66th, 545th, etc., But, if we want to talk generally instead of saying like 2nd, 4th, etc. we say \u2018nth\u2019.<\/p>\n<p><strong>The symbol of \u2018<\/strong><strong>n<\/strong><strong>th\u00a0<\/strong><strong>root\u2019 is \u201c<\/strong><strong>n\u221a<\/strong><strong>\u201d it is the radical symbol with a small \u2018n\u2019 with nth root<\/strong><strong>.<\/strong><\/p>\n<p><strong>For Example-<\/strong><\/p>\n<p><img class=\"alignnone size-full wp-image-73560\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-2.png\" alt=\"\" width=\"947\" height=\"204\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-2.png 947w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-2-768x165.png 768w\" sizes=\"(max-width: 947px) 100vw, 947px\"><\/p>\n<h3><span class=\"ez-toc-section\" id=\"laws-of-rational-exponents\"><\/span><strong>Laws of Rational Exponents<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Know the Laws of Rational Exponents in the below points with formulas and examples.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"multiplying-of-powers-with-the-same-base\"><\/span><strong>Multiplying of Powers with the Same Base<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>If the bases are the same, we need to add the exponents.<\/p>\n<p><img class=\"alignnone size-full wp-image-73561\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-3.png\" alt=\"\" width=\"729\" height=\"306\"><\/p>\n<h4><span class=\"ez-toc-section\" id=\"dividing-powers-with-the-same-base\"><\/span><strong>Dividing Powers with the Same Base<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>If the bases are the same, we need to subtract the exponent.<\/p>\n<p><img class=\"alignnone size-full wp-image-73563\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-4.png\" alt=\"\" width=\"525\" height=\"549\"><\/p>\n<h4><span class=\"ez-toc-section\" id=\"negative-exponents\"><\/span><strong>Negative Exponents<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>We need to change the negative exponent into a positive exponent first by making the numerator as the denominator and vice-versa.<\/p>\n<p><img class=\"alignnone size-full wp-image-73564\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-5.png\" alt=\"\" width=\"430\" height=\"262\"><\/p>\n<h4><span class=\"ez-toc-section\" id=\"power-with-exponent-zero\"><\/span><strong>Power with Exponent Zero<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>If the power of the exponent is zero, then the result will get \u2018one\u2019, whatever the base is.<\/p>\n<p><img class=\"alignnone size-full wp-image-73565\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-6.png\" alt=\"\" width=\"617\" height=\"520\"><\/p>\n<p>Go through the below table to know more about the Law of Rational Exponent-<\/p>\n<p><img class=\"alignnone size-full wp-image-73566\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/2.2-7.png\" alt=\"\" width=\"463\" height=\"466\"><\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions, students will get information about- Rational Exponents of Real Number, the nth root of a positive real number, Rational Powers, Laws of rational exponents in detail. For practice, students can prefer the following RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions &#8230; <a title=\"RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-2-class-9-maths-exercise-2-2-solutions\/\" aria-label=\"More on RD Sharma Chapter 2 Class 9 Maths Exercise 2.2 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73579,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411,73410],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73554"}],"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=73554"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73554\/revisions"}],"predecessor-version":[{"id":73825,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73554\/revisions\/73825"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73579"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}