{"id":124894,"date":"2023-09-03T11:09:00","date_gmt":"2023-09-03T05:39:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=124894"},"modified":"2026-06-09T22:17:34","modified_gmt":"2026-06-09T16:47:34","slug":"rd-sharma-class-9-solutions-chapter-2-exercise-2-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-2-exercise-2-1\/","title":{"rendered":"RD Sharma Class 9 Solutions 2026: Complete Maths Guide | Rd Sharma Class 9 Solutions Chapter 2 Exercise 2 1"},"content":{"rendered":"<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"Article\",\n  \"headline\": \"RD Sharma Class 9 Solutions 2026: Complete Maths Guide\",\n  \"description\": \"Get expert RD Sharma Class 9 Solutions for Maths Chapter 2, Exercise 2.1 (2026). Master concepts & score high! Download PDF for free.\",\n  \"author\": {\n    \"@type\": \"Organization\",\n    \"name\": \"KopyKitab\"\n  },\n  \"publisher\": {\n    \"@type\": \"Organization\",\n    \"name\": \"KopyKitab\",\n    \"url\": \"https:\/\/www.kopykitab.com\"\n  },\n  \"datePublished\": \"2026-06-09\",\n  \"dateModified\": \"2026-06-09\"\n}\n<\/script><\/p>\n<div class=\"freshness-block\" style=\"background:#e8f5e9;padding:15px;border-left:4px solid #4caf50;margin:20px 0;border-radius:4px;\">\n<strong>Last Updated:<\/strong> June 09, 2026 | This article has been updated with the latest information for 2026.\n<\/div>\n<p><img alt=\"RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1\" class=\"alignnone wp-image-124895 size-full\" height=\"675\" loading=\"eager\" sizes=\"(max-width: 1200px) 100vw, 1200px\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-2-Exercise-2.1.jpg\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-2-Exercise-2.1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-2-Exercise-2.1-768x432.jpg 768w\" width=\"1200\"\/><\/p>\n<p><strong>Read more:<\/strong> <a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\">RD Sharma \u2014 Complete Guide<\/a><\/p>\n<p><strong>RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1:<\/strong> RD Sharma solutions Class 9 Mathematics Chapter 2 Exercise 2.1 Exponents of Real Numbers are provided here for 2026 academic year. Class 9 Chapter 2 ke solutions subject experts ne CBSE syllabus ke according solve kiye hain 9th standard ke liye. Get ready to score excellent percentages in your upcoming Class 9 Maths exams with the <a href=\"\/blog\/rd-sharma-class-9-solutions-for-maths\/\">RD Sharma Solutions Class 9 Maths<\/a>. The solutions are easy to understand aur aapke saare doubts clear ho jayenge. To know more about the <a href=\"\/blog\/rd-sharma-solutions-class-9-maths-chapter-2-exponents-of-real-numbers\/\">RD Sharma Class 9 Solutions Chapter 2<\/a> Exercise 2.1, read the whole blog.<\/p>\n<div class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\" id=\"ez-toc-container\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<p><span class=\"ez-toc-title-toggle\"><a aria-label=\"ez-toc-toggle-icon-1\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" href=\"#\"><label aria-label=\"Table of Content\" for=\"item-6a28419d1e9b1\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg class=\"list-377408\" fill=\"none\" height=\"20px\" style=\"fill: #000000;color:#000000\" viewbox=\"0 0 24 24\" width=\"20px\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 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the RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1 PDF<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-2\"><a class=\"ez-toc-link ez-toc-heading-2\" href=\"#access-answers-of-rd-sharma-class-9-solutions-chapter-2-exercise-21\" title=\"Access answers of RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1\">Access answers of RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1<\/a>\n<ul class=\"ez-toc-list-level-3\">\n<li class=\"ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-3\" href=\"#rd-sharma-class-9-chapter-2-exponents-of-real-numbers-ex-21\" title=\"RD Sharma Class 9 Chapter 2 Exponents of Real Numbers Ex 2.1\">RD Sharma Class 9 Chapter 2 Exponents of Real Numbers Ex 2.1<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-2\"><a class=\"ez-toc-link ez-toc-heading-4\" href=\"#faqs-on-rd-sharma-solutions-class-9-maths-chapter-2-exercise-21\" title=\"FAQs on RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1\">FAQs on RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1<\/a>\n<ul class=\"ez-toc-list-level-3\">\n<li class=\"ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-5\" href=\"#how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-for-class-9-maths-chapter-2-exercise-21\" title=\"How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 2 Exercise 2.1?\">How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 2 Exercise 2.1?<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-6\" href=\"#can-i-access-the-rd-sharma-solutions-class-9-maths-chapter-2-exercise-21-pdf-offline\" title=\"Can I access the RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1 PDF offline?\">Can I access the RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1 PDF offline?<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-7\" href=\"#are-the-solutions-rd-sharma-solutions-class-9-maths-chapter-2-exercise-21-relevant\" title=\"Are the solutions RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1 relevant?\">Are the solutions RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1 relevant?<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-the-rd-sharma-class-9-solutions-chapter-2-exercise-21-pdf\"><\/span><span class=\"ez-toc-section\" id=\"download-the-RD-sharma-class-9-solutions-chapter-2-exercise-21-PDF\"><\/span><strong>Download the RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1 PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"\/blog\/wp-content\/uploads\/2023\/03\/RD-SHARMA-Solutions-Class-9-Maths-Chapter-2-Ex-2.1.pdf\" rel=\"noopener\" target=\"_blank\">RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1<\/a><\/p>\n<p>Yeh PDF download \u0915\u0930\u0915\u0947 \u0906\u092a offline \u092d\u0940 access \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 <a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\">RD<\/a> Sharma ki book Class 9 students \u0915\u0947 \u0932\u093f\u090f \u092c\u0939\u0941\u0924 helpful \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0907\u0938\u092e\u0947\u0902 CBSE syllabus \u0915\u0947 according questions \u0914\u0930 solutions \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902\u0964 Chapter 2 \u092e\u0947\u0902 Exponents of Real Numbers \u0915\u093e topic \u0939\u0948 \u091c\u094b board exams \u092e\u0947\u0902 frequently \u092a\u0942\u091b\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p>Exercise 2.1 \u092e\u0947\u0902 basic \u0938\u0947 moderate level \u0915\u0947 questions \u0939\u0948\u0902 \u091c\u094b students \u0915\u094b exponents \u0915\u0947 fundamental concepts \u0938\u092e\u091d\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f designed \u0915\u093f\u090f \u0917\u090f \u0939\u0948\u0902\u0964 \u092f\u0939 exercise NCERT Chapter 1 (Number Systems) \u0915\u0947 \u0938\u093e\u0925 align \u0939\u094b\u0924\u0940 \u0939\u0948 \u0914\u0930 board exam \u0915\u0940 preparation \u0915\u0947 \u0932\u093f\u090f essential \u0939\u0948\u0964<\/p>\n<div id=\"example1\" style=\"text-align: justify;\"> <\/div>\n<p style=\"text-align: justify;\">\n<style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style>\n<\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"\/blog\/wp-content\/uploads\/2021\/09\/2.1-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"step-by-step-solutions-for-rd-sharma-class-9-chapter-2-exercise-21\"><\/span><span class=\"ez-toc-section\" id=\"access-answers-of-RD-sharma-class-9-solutions-chapter-2-exercise-21\"><\/span><strong>Step-by-Step Solutions for RD Sharma Class 9 Chapter 2 Exercise 2.1<\/strong><span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0907\u0938 section \u092e\u0947\u0902 \u0939\u092e\u0928\u0947 \u0938\u092d\u0940 questions \u0915\u0947 detailed <a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\">solutions<\/a> provide \u0915\u093f\u090f \u0939\u0948\u0902\u0964 \u0939\u0930 step \u0915\u094b clearly explain \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0924\u093e\u0915\u093f students easily \u0938\u092e\u091d \u0938\u0915\u0947\u0902\u0964 \u092f\u0939 exercise exponents \u0915\u0947 laws \u0914\u0930 properties \u092a\u0930 focus \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<\/p>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-9-chapter-2-exponents-of-real-numbers-ex-21\"><\/span><span class=\"ez-toc-section\" id=\"RD-sharma-class-9-chapter-2-exponents-of-real-numbers-ex-21\"><\/span>RD Sharma Class 9 Chapter 2 Exponents of Real Numbers Ex 2.1<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Simplify the following<\/strong><\/p>\n<p><strong>(i) 3(a<sup>4<\/sup> b<sup>3<\/sup>)<sup>10<\/sup> x 5 (a<sup>2<\/sup> b<sup>2<\/sup>)<sup>3<\/sup><\/strong><\/p>\n<p><strong>(ii) (2x <sup>-2<\/sup> y<sup>3<\/sup>)<sup>3<\/sup><\/strong><\/p>\n<p><img \"=\"\" blog=\"\" category=\"\" height=\"450\" https:=\"\" loading=\"lazy\" rd-sharma-solutions=\"\" title=\"&lt;a href=\" width=\"800\" www.kopykitab.com=\"\"\/>RD Sharma Solutions Class 9 Chapter 2 Solutions&#8221; src=&#8221;https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-exponents-of-real-numb.png&#8221; alt=&#8221;RD Sharma Class 9 Chapter 2 Exponents of Real Numbers Ex 2.1 Question 1&#8243; \/&gt;<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Using laws: (a<sup>m<\/sup>)<sup>n<\/sup> = a<sup>mn<\/sup> , a<sup>0<\/sup> = 1, a<sup>-m<\/sup> = 1\/a and a<sup>m<\/sup> x a<sup>n<\/sup> = a<sup>m+n<\/sup>]<\/p>\n<p><strong>(i)<\/strong> 3(a<sup>4<\/sup> b<sup>3<\/sup>)<sup>10<\/sup> x 5 (a<sup>2<\/sup> b<sup>2<\/sup>)<sup>3<\/sup><\/p>\n<p>On simplifying the given equation, we get;<\/p>\n<p>= 3(a<sup>40<\/sup> b<sup>30<\/sup>) x 5 (a<sup>6<\/sup> b<sup>6<\/sup>)<\/p>\n<p>= 15 (a<sup>46<\/sup> b<sup>36<\/sup>)<\/p>\n<p>[using laws: (a<sup>m<\/sup>)<sup>n<\/sup> = a<sup>mn<\/sup> and a<sup>m<\/sup> x a<sup>n<\/sup> = a<sup>m+n<\/sup>]<\/p>\n<p><strong>\u092f\u0939\u093e\u0901 important point \u092f\u0939 \u0939\u0948 \u0915\u093f \u0939\u092e\u0928\u0947 \u092a\u0939\u0932\u0947 power rule apply \u0915\u093f\u092f\u093e, \u092b\u093f\u0930 multiplication rule \u0915\u093e use \u0915\u093f\u092f\u093e\u0964 \u092f\u0939 approach board exams \u092e\u0947\u0902 marks \u0932\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091c\u0930\u0942\u0930\u0940 \u0939\u0948\u0964<\/strong><\/p>\n<p><strong>(ii) <\/strong>(2x <sup>-2<\/sup> y<sup>3<\/sup>)<sup>3<\/sup><\/p>\n<p>On simplifying the given equation, we get;<\/p>\n<p>= (2<sup>3<\/sup> x <sup>-2 \u00d7 3<\/sup> y<sup>3\u00d73<\/sup>)<\/p>\n<p>= 8 x <sup>-6<\/sup> y<sup>9<\/sup><\/p>\n<p><strong>Negative exponents \u0915\u094b handle \u0915\u0930\u0928\u093e tricky \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u092f\u0939\u093e\u0901 x<sup>-6<\/sup> \u0915\u094b 1\/x<sup>6<\/sup> \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092d\u0940 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/strong><\/p>\n<p><strong>(iii)<\/strong><\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Exponents of Real Numbers Ex 2.1 Question 1 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-exponents-of-real-numb-1.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><br \/><img alt=\"RD Sharma Class 9 Chapter 2 Exponents of Real Numbers Ex 2.1 Question 1 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-exponents-of-real-numb-2.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p><strong>Question 2: If a = 3 and b =-2, find the values of:<\/strong><\/p>\n<p><strong>(i) a<sup>a<\/sup>+ b<sup>b<\/sup><\/strong><\/p>\n<p><strong>(ii) a<sup>b<\/sup> + b<sup>a<\/sup><\/strong><\/p>\n<p><strong>(iii) (a+b)<sup>ab<\/sup><\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong> a<sup>a<\/sup>+ b<sup>b<\/sup><\/p>\n<p>Now putting the values of &#8216;a&#8217; and &#8216;b&#8217;, we get;<\/p>\n<p>= 3<sup>3 <\/sup>+ (\u22122)<sup>\u22122<\/sup><\/p>\n<p>= 3<sup>3<\/sup> + (\u22121\/2)<sup>2<\/sup><\/p>\n<p>= 27 + 1\/4<\/p>\n<p>= 109\/4<\/p>\n<p><strong>\u092f\u0939 question negative exponents \u0915\u0947 \u0938\u093e\u0925 calculation practice \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u0948\u0964 (\u22122)<sup>\u22122<\/sup> = 1\/(\u22122)<sup>2<\/sup> = 1\/4 \u092f\u093e\u0926 \u0930\u0916\u0947\u0902\u0964<\/strong><\/p>\n<p><strong>(ii) <\/strong>a<sup>b<\/sup> + b<sup>a<\/sup><\/p>\n<p>Now putting the values of &#8216;a&#8217; and &#8216;b&#8217;, we get;<\/p>\n<p>= 3<sup>\u22122<\/sup> + (\u22122)<sup>3<\/sup><\/p>\n<p>= (1\/3)<sup>2<\/sup> + (\u22122)<sup>3<\/sup><\/p>\n<p>= 1\/9 \u2013 8<\/p>\n<p>= \u221271\/9<\/p>\n<p><strong>(iii) <\/strong>(a+b)<sup>ab<\/sup><\/p>\n<p>Now putting the values of &#8216;a&#8217; and &#8216;b&#8217;, we get;<\/p>\n<p>= (3 + (\u22122))<sup>3(\u22122)<\/sup><\/p>\n<p>= (3\u20132))<sup>\u22126<\/sup><\/p>\n<p>= 1<sup>\u22126<\/sup><\/p>\n<p>= 1<\/p>\n<p><strong>\u092f\u0939\u093e\u0901 \u090f\u0915 interesting fact \u0939\u0948 &#8211; \u0915\u093f\u0938\u0940 \u092d\u0940 number \u0915\u0940 power 1 \u0939\u092e\u0947\u0936\u093e 1 \u0939\u094b\u0924\u0940 \u0939\u0948, \u091a\u093e\u0939\u0947 exponent \u0915\u0941\u091b \u092d\u0940 \u0939\u094b\u0964<\/strong><\/p>\n<p><strong>Question 3: Prove that<\/strong><\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 3\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong> L.H.S. =<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 3 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question.gif\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p>= R.H.S.<\/p>\n<p><strong>Proof questions \u092e\u0947\u0902 LHS \u0914\u0930 RHS \u0915\u094b separately solve \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964 \u092f\u0939 method board exams \u092e\u0947\u0902 full marks \u0926\u093f\u0932\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/p>\n<p><strong>(ii) <\/strong>We have to prove here;<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 3 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-1.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p>L.H.S. =<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 3 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-2.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p>=R.H.S.<\/p>\n<p><strong>(iii) <\/strong>L.H.S. =<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 3 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-3.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p><strong>Question 4: Prove that<\/strong><\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 4\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-4.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong> L.H.S<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 4 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-5.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p>= R.H.S.<\/p>\n<p><strong>(ii)<\/strong> L.H.S<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 4 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-6.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p>= R.H.S.<\/p>\n<p><strong>\u0907\u0938 type \u0915\u0947 questions \u092e\u0947\u0902 algebraic manipulation \u0915\u0940 practice \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 advanced level \u0915\u0947 questions \u0915\u0947 \u0932\u093f\u090f foundation \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/p>\n<p><strong>Question 5: Prove that<\/strong><\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 5\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-7.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong> L.H.S.<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 5 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-8.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p>= R.H.S.<\/p>\n<p><strong>(ii)<\/strong><\/p>\n<p>L.H.S.<\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 5 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-9.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p>= R.H.S.<\/p>\n<p><strong>Question 6: If abc = 1, show that<\/strong><\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 6\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-10.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img alt=\"RD Sharma Class 9 Chapter 2 Maths Ex 2.1 Question 6 solution\" height=\"450\" loading=\"lazy\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-2-maths-ex-2-1-question-11.png\" title=\"RD Sharma Solutions Class 9 Chapter 2 Solutions\" width=\"800\"\/><\/p>\n<p><strong>\u092f\u0939 question conditional proof \u0915\u093e example \u0939\u0948\u0964 Given condition abc = 1 \u0915\u094b effectively use \u0915\u0930\u0928\u093e \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 type \u0915\u0947 questions Class 10 \u092e\u0947\u0902 \u092d\u0940 \u0906\u0924\u0947 \u0939\u0948\u0902\u0964<\/strong><\/p>\n<p>Exercise 2.1 complete \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926, students \u0915\u094b Exercise 2.2 \u0914\u0930 2.3 \u092d\u0940 practice \u0915\u0930\u0928\u0940 \u091a\u093e\u0939\u093f\u090f \u091c\u0939\u093e\u0901 moderate \u0938\u0947 advanced level \u0915\u0947 questions \u0939\u0948\u0902\u0964 RD Sharma \u0915\u0940 book \u0915\u094b NCERT \u0915\u0947 \u0938\u093e\u0925 combine \u0915\u0930\u0915\u0947 \u092a\u0922\u093c\u0928\u0947 \u0938\u0947 maximum benefit \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964<\/p>\n<p>Board exam \u092e\u0947\u0902 exponents chapter \u0938\u0947 usually 4-6 marks \u0915\u0947 questions \u0906\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 exercise \u0915\u0947 \u0938\u092d\u0940 questions \u0915\u094b thoroughly practice \u0915\u0930\u0928\u0947 \u0938\u0947 students confident feel \u0915\u0930\u0947\u0902\u0917\u0947\u0964 <a href=\"https:\/\/www.cbse.gov.in\/\" rel=\"noopener\" target=\"_blank\">CBSE official website<\/a> \u092a\u0930 latest syllabus check \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>This is the complete blog on RD Sharma Solutions Class 9 Maths for Chapter 2 Exercise 2.1. To know more about the CBSE Class 9 Maths exam for 2026, ask in the comments. \u0939\u092e\u093e\u0930\u0940 <a href=\"\/blog\/rd-sharma-class-9-solutions-for-maths\/\">complete RD Sharma Class 9 guide<\/a> \u092d\u0940 check \u0915\u0930\u0947\u0902 for comprehensive preparation.<\/p>\n<div class=\"related-articles\" style=\"background:#fff3e0;padding:20px;border-left:4px solid #ff9800;margin:24px 0;border-radius:4px;\">\n<h3 style=\"margin:0 0 12px;color:#e65100;\"><span class=\"ez-toc-section\" id=\"you-may-also-like\"><\/span>You May Also Like<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"list-style:none;margin:0;padding:0;\">\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 RD Sharma Solutions<\/a><\/li>\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 Maths Solutions<\/a><\/li>\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/cbse\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 CBSE Preparation<\/a><\/li>\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/exam-preparation\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 Exam Preparation Guide<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"cta-box\" style=\"background:linear-gradient(135deg,#e8f5e9,#c8e6c9);padding:24px;border-radius:8px;margin:24px 0;text-align:center;border:1px solid #a5d6a7;\">\n<h3 style=\"margin:0 0 8px;color:#2e7d32;\"><span class=\"ez-toc-section\" id=\"explore-study-materials\"><\/span>Explore Study Materials<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"margin:0 0 16px;color:#333;\">Get comprehensive study materials, practice tests, and expert guides for your exam preparation.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/competitive-exam-books\" style=\"display:inline-block;background:#2e7d32;color:#fff;padding:12px 32px;border-radius:6px;text-decoration:none;font-weight:600;\">Browse Study Materials \u2192<\/a>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-9-maths-chapter-2-exercise-21\"><\/span><span class=\"ez-toc-section\" id=\"faqs-on-RD-sharma-solutions-class-9-maths-chapter-2-exercise-21\"><\/span><strong>FAQs on RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1<\/strong><span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"rank-math-block\" id=\"rank-math-faq\">\n<div class=\"rank-math-list\">\n<div class=\"rank-math-list-item\" id=\"faq-question-1630933022767\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-for-class-9-maths-chapter-2-exercise-21\"><\/span><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-PDF-of-RD-sharma-solutions-for-class-9-maths-chapter-2-exercise-21\"><\/span>How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 2 Exercise 2.1?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>You can download it for free. \u0939\u092e\u093e\u0930\u0940 website \u092a\u0930 \u0938\u092d\u0940 RD Sharma solutions without any cost provide \u0915\u093f\u090f \u0917\u090f \u0939\u0948\u0902\u0964<\/p>\n<\/div>\n<\/div>\n<div class=\"rank-math-list-item\" id=\"faq-question-1630933060957\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-solutions-class-9-maths-chapter-2-exercise-21-pdf-offline\"><\/span><span class=\"ez-toc-section\" id=\"can-i-access-the-RD-sharma-solutions-class-9-maths-chapter-2-exercise-21-PDF-offline\"><\/span>Can I access the RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1 PDF offline?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>Once you have downloaded the PDF online, you can access it offline as well. \u092f\u0939 feature especially helpful \u0939\u0948 when internet connectivity issues \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<\/p>\n<\/div>\n<\/div>\n<div class=\"rank-math-list-item\" id=\"faq-question-1630933072415\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"are-the-solutions-rd-sharma-solutions-class-9-maths-chapter-2-exercise-21-relevant\"><\/span><span class=\"ez-toc-section\" id=\"are-the-solutions-RD-sharma-solutions-class-9-maths-chapter-2-exercise-21-relevant\"><\/span>Are the solutions RD Sharma Solutions Class 9 Maths Chapter 2 Exercise 2.1 relevant?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>The solutions are relevant as they are designed by the subject matter experts for the 2026 academic year. \u092f\u0947 solutions CBSE syllabus \u0915\u0947 according updated \u0939\u0948\u0902 \u0914\u0930 board exam preparation \u0915\u0947 \u0932\u093f\u090f perfect \u0939\u0948\u0902\u0964<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Last Updated: June 09, 2026 | This article has been updated with the latest information for 2026. Read more: RD Sharma \u2014 Complete Guide RD Sharma Class 9 Solutions Chapter 2 Exercise 2.1: RD Sharma solutions Class 9 Mathematics Chapter 2 Exercise 2.1 Exponents of Real Numbers are provided here for 2026 academic year. Class &#8230; <a title=\"RD Sharma Class 9 Solutions 2026: Complete Maths Guide | Rd Sharma Class 9 Solutions Chapter 2 Exercise 2 1\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-2-exercise-2-1\/\" aria-label=\"More on RD Sharma Class 9 Solutions 2026: Complete Maths Guide | Rd Sharma Class 9 Solutions Chapter 2 Exercise 2 1\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":575495,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411],"tags":[3086,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124894"}],"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\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=124894"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124894\/revisions"}],"predecessor-version":[{"id":575498,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124894\/revisions\/575498"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/575495"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=124894"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=124894"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=124894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}