{"id":46934,"date":"2022-06-01T04:30:10","date_gmt":"2022-05-31T23:00:10","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=46934"},"modified":"2023-01-25T11:18:36","modified_gmt":"2023-01-25T05:48:36","slug":"ml-aggarwal-class-9-solutions-for-icse-maths-chapter-8-chapter-test","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ml-aggarwal-class-9-solutions-for-icse-maths-chapter-8-chapter-test\/","title":{"rendered":"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test"},"content":{"rendered":"<h2>ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test<\/h2>\n<p>Question 1.<br \/>\nIf 2<sup>x<\/sup> . 3<sup>y<\/sup>. 5<sup>z<\/sup> = 2160 find the values of x, y and z. Hence compute the value of 3<sup>x<\/sup>. 2<sup>-y<\/sup> 5<sup>-z<\/sup>.<br \/>\nAnswer:<br \/>\n2<sup>x<\/sup> . 3<sup>y<\/sup>. 5<sup>z<\/sup> = 2160<br \/>\n=&gt; 2<sup>x<\/sup> . 3<sup>y<\/sup>. 5<sup>z<\/sup> = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 5<br \/>\n=&gt; 2<sup>x<\/sup> . 3<sup>y<\/sup>. 5<sup>z<\/sup> = (2)<sup>4<\/sup>.(3)<sup>3<\/sup>\u00a0. (5)<sup>1<\/sup><br \/>\nComparing powers of 2, 3 and 5, on both sides of above equation we get<br \/>\nx = 4, y = 3, z = 1<br \/>\nAlso 3<sup>x<\/sup>. 2<sup>-y<\/sup> 5<sup>-z<\/sup> = (3)<sup>4<\/sup> \u00d7 (2)<sup>-3<\/sup> \u00d7 (5)<sup>-1<\/sup><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70877\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-1.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-1\" width=\"336\" height=\"330\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-1.png 336w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-1-300x295.png 300w\" sizes=\"(max-width: 336px) 100vw, 336px\" \/><\/p>\n<p>Question 2.<br \/>\nIf x = 2 and y = -3, find the values of<br \/>\n(i) x<sup>x<\/sup> + y<sup>y<\/sup><br \/>\n(ii) x<sup>y<\/sup> + y<sup>x<\/sup>.<br \/>\nAnswer:<br \/>\n(i) x<sup>x<\/sup> + y<sup>y<\/sup>, Given that x = 2 and y = 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70878\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-2.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-2\" width=\"359\" height=\"320\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-2.png 359w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-2-300x267.png 300w\" sizes=\"(max-width: 359px) 100vw, 359px\" \/><\/p>\n<p>Question 3.<br \/>\nIf p = x<sup>m+n<\/sup> . y<sup>t<\/sup> , q = x<sup>n+l<\/sup>. y<sup>m<\/sup> and r = x<sup>l+m<\/sup> . y<sup>n<\/sup>. Prove that p<sup>m-n<\/sup>. q<sup>n-l<\/sup> . r<sup>l-n<\/sup> = 1<br \/>\nAnswer:<br \/>\nGiven that p = x<sup>m+n<\/sup>. y<sup>t<\/sup> &#8230;&#8230;&#8230;(1)<br \/>\nq = x<sup>n+l<\/sup>. y<sup>m<\/sup> &#8230;.(2)<br \/>\nr = x<sup>l+m<\/sup> . y<sup>n<\/sup> ..(3)<br \/>\nL.H.S. = p<sup>m-n<\/sup> . q<sup>n-l<\/sup> . r<sup>l-m<\/sup> &#8230;&#8230;(4)<br \/>\nPutting the value of a, b, c from (1), (2), (3) respectively in (4), we get<br \/>\nL.H.S = (x<sup>m+n<\/sup>y<sup>t<\/sup> )<sup>m-n<\/sup> ,(x<sup>n+l<\/sup> ,y<sup>m<\/sup> )<sup>n-l<\/sup> .(x<sup>l+m<\/sup> y<sup>n<\/sup>)<sup>l-m<\/sup><br \/>\n= (x<sup>m+n<\/sup>)<sup>m-n<\/sup> . y<sup>l(m-n)<\/sup> . (x)<sup>(n+l)(n-l)<\/sup> . y<sup>m(n-l)<\/sup>. (x)<sup>(l+m)(l-m)<\/sup> y<sup>m(l-m)<\/sup><br \/>\n= (x<sup>(m+n)(m-n)<\/sup> y<sup>lm+ln<\/sup> . (x)<sup>(n+l)(n-l)<\/sup> . y<sup>mn-l<\/sup> . (x)<sup>(l+m)(l-m)<\/sup> . y<sup>ln+nm<\/sup><br \/>\n= (x)<sup>m<sup>2<\/sup>-n<sup>2<\/sup><\/sup> . y<sup>lm-ln<\/sup> . (x)<sup>n<sup>2<\/sup>-l<sup>2<\/sup><\/sup> . y<sup>mn-ml<\/sup> . (x) <sup>l<sup>2<\/sup>-m<sup>2<\/sup><\/sup> . y <sup>nl-nm<\/sup><br \/>\n= (x)<sup>m<sup>2<\/sup> &#8211; n<sup>2<\/sup> + n<sup>2<\/sup> &#8211; l<sup>2<\/sup> + l<sup>2<\/sup> = m<sup>2<\/sup><\/sup> (y)<sup>lm-ln+mn-ml+nl-nm<\/sup><br \/>\n= (x)<sup>o<\/sup>(y)<sup>o<\/sup> = 1 \u00d7 1 = 1<br \/>\nHence, Proved L.H.S = R.H.S.<\/p>\n<p>Question 4.<br \/>\nIf x = a<sup>m+n<\/sup>, y = a<sup>n+1<\/sup> and z = a<sup>l+m<\/sup>, prove that x<sup>m<\/sup>.y<sup>n<\/sup>z<sup>l<\/sup> = x<sup>n<\/sup> y<sup>t<\/sup> z<sup>m<\/sup><br \/>\nAnswer:<br \/>\nx = a<sup>m+n<\/sup>,y = a<sup>n+l<\/sup>, z = a<sup>l+m<\/sup><br \/>\nL.H.S. =x<sup>m<\/sup> y<sup>n<\/sup> z<sup>p<\/sup><br \/>\n= a<sup>m[m+n]<\/sup> . y<sup>x[n+l]<\/sup> . z<sup>l[l+m]<\/sup><br \/>\n= a<sup>m<sup>2<\/sup>+mn<\/sup> . y<sup>n<sup>2<\/sup>+nl<\/sup> . z<sup>l<sup>2<\/sup>+lm<\/sup><br \/>\n= a<sup>m<sup>2<\/sup>+mn+n<sup>2<\/sup>+nl+l<sup>2<\/sup>+lm<\/sup> = a<sup>l<sup>2<\/sup>+m<sup>2<\/sup>+n<sup>2<\/sup>+lm+mn+np<\/sup><br \/>\nR.H.S. = x<sup>n<\/sup> . y<sup>l<\/sup> . z<sup>m<\/sup><br \/>\n= a<sup>n(m+n)<\/sup> . a<sup>l(n+p)<\/sup> . a<sup>m(l+m)<\/sup><br \/>\n= a<sup>mn+n<sup>2<\/sup><\/sup>\u00a0. a<sup>l(n+p)<\/sup> . a<sup>m(l+m)<\/sup><br \/>\n= a<sup>mn+n<sup>2<\/sup><\/sup> . a<sup>ln+l<sup>2<\/sup><\/sup> . a<sup>lm+m<sup>2<\/sup><\/sup><br \/>\n= a<sup>mn+n<sup>2<\/sup>+ln+l<sup>2<\/sup>+lm+m<sup>2<\/sup><\/sup><br \/>\n= a<sup>l<sup>2<\/sup>+m<sup>2<\/sup>+n<sup>2<\/sup>+lm+mn+nl<\/sup><br \/>\n\u2234 L.H.S. = R.H.S.<\/p>\n<p>Question 5.<br \/>\nShow that<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70879\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-3.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-3\" width=\"275\" height=\"128\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70880\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-4.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-4\" width=\"378\" height=\"519\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-4.png 378w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-4-218x300.png 218w\" sizes=\"(max-width: 378px) 100vw, 378px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70881\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-5.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-5\" width=\"362\" height=\"141\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-5.png 362w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-5-300x117.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><br \/>\nHence, L.H.S = R.H.S, Proved the result.<\/p>\n<p>Question 6.<br \/>\nIf x is a positive real number \u00bbnd exponents are rational numbers, then simplify the following :<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70882\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-6.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-6\" width=\"299\" height=\"256\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70883\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-7.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-7\" width=\"384\" height=\"534\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-7.png 384w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-7-216x300.png 216w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70884\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-8.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-8\" width=\"388\" height=\"510\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-8.png 388w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-8-228x300.png 228w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70885\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-9.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-9\" width=\"342\" height=\"70\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-9.png 342w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-9-300x61.png 300w\" sizes=\"(max-width: 342px) 100vw, 342px\" \/><\/p>\n<p>Question 7.<br \/>\nShow that:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70886\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-10.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-10\" width=\"371\" height=\"55\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-10.png 371w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-10-300x44.png 300w\" sizes=\"(max-width: 371px) 100vw, 371px\" \/><br \/>\nAnswer:<br \/>\nL.H.S =<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70887\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-11.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-11\" width=\"366\" height=\"547\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-11.png 366w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-11-201x300.png 201w\" sizes=\"(max-width: 366px) 100vw, 366px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70888\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-12.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-12\" width=\"352\" height=\"250\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-12.png 352w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-12-300x213.png 300w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70889\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-13.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-13\" width=\"306\" height=\"85\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-13.png 306w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-13-300x83.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><\/p>\n<p>Question 8.<br \/>\nIf 3<sup>x<\/sup> = 5<sup>y<\/sup> = (75)<sup>z<\/sup> show that z = \\(\\frac{x y}{2 x+y}\\).<br \/>\nAnswer:<br \/>\nLet 3<sup>x<\/sup> = 5<sup>y<\/sup> = (75)<sup>z<\/sup> = k<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70890\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-14.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-14\" width=\"376\" height=\"299\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-14.png 376w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-14-300x239.png 300w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><\/p>\n<p>Question 9.<br \/>\nSolve the following equations:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70891\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-15.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-15\" width=\"344\" height=\"151\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-15.png 344w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-15-300x132.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70892\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-16.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-16\" width=\"384\" height=\"358\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-16.png 384w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-16-300x280.png 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70893\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-17.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-17\" width=\"382\" height=\"576\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-17.png 382w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-17-199x300.png 199w\" sizes=\"(max-width: 382px) 100vw, 382px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70894\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-18.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-18\" width=\"383\" height=\"147\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-18.png 383w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-18-300x115.png 300w\" sizes=\"(max-width: 383px) 100vw, 383px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70895\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-19.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-19\" width=\"396\" height=\"566\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-19.png 396w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-19-210x300.png 210w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-70896\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-20.png\" alt=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test img-20\" width=\"393\" height=\"178\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-20.png 393w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/10\/ML-Aggarwal-Class-9-Solutions-for-ICSE-Maths-Chapter-8-Indices-Chapter-Test-img-20-300x136.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/p>\n<h4><a href=\"https:\/\/cbselibrary.com\/ml-aggarwal-icse-solutions-for-class-9-maths\/\">ML Aggarwal Class 9 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test Question 1. If 2x . 3y. 5z = 2160 find the values of x, y and z. Hence compute the value of 3x. 2-y 5-z. Answer: 2x . 3y. 5z = 2160 =&gt; 2x . 3y. 5z = 2 \u00d7 2 \u00d7 &#8230; <a title=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-9-solutions-for-icse-maths-chapter-8-chapter-test\/\" aria-label=\"More on ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-9-solutions-for-icse-maths-chapter-8-chapter-test\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 8 Indices Chapter Test Question 1. If 2x . 3y. 5z = 2160 find the values of x, y and z. Hence compute the value of 3x. 2-y 5-z. Answer: 2x . 3y. 5z = 2160 =&gt; 2x . 3y. 5z = 2 \u00d7 2 \u00d7 ... 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