SELINA Solutions for Class 9 Maths Chapter 7 - Indices (Exponents)
Ensure the best revision for your exam with the aid of Selina Solutions for ICSE Class 9 Mathematics Chapter 7 Indices (Exponents). You may have learned that if you have equal bases, then the powers will be equal. Now, practise the application of this concept while revising the chapter solutions developed by Maths experts at TopperLearning.
Furthermore, understand the steps to simplify expressions using the laws of exponents with Selina solutions for ICSE Class 9 Maths. To make your Maths self-study sessions effective, you can explore concept videos, solved question papers, practice tests and more. You can access all these resources on TopperLearning to help you achieve higher marks in your exam.
Chapter 7 - Indices (Exponents) Exercise Ex. 7(A)
Evaluate:
(i)
(ii)
(iii)
(iv)
(v)
(i)
(ii)
(iii)
(iv)
(v)
Simplify:
(i)
(ii)
(iii)
(iv)
(i)
(ii)
(iii)
(iv)
Evaluate:
(i)
(ii)
(i)
(ii)
Simplify each of the following and express with positive index:
(i)
(ii)
(iii)
(iv)
(i)
(ii)
(iii)
(iv)
If 2160 = 2a. 3b. 5c, find a, b and c. Hence calculate the value of 3a 2-b
5-c.
If 1960 = 2a. 5b. 7c, calculate the value of 2-a. 7b. 5-c.
Simplify:
(i)
(ii)
(i)
(ii)
Show that:
If a = xm + n. yl; b = xn + l. l . ym and c = xl + m. yn,
Prove that: am - n. bn - l. cl - m = 1
Simplify:
(i)
(ii)
(i)
(ii)
Chapter 7 - Indices (Exponents) Exercise Ex. 7(B)
Solve for x:
(i) 22x+1 = 8
(ii) 25x-1 = 4 23x + 1
(iii) 34x + 1 = (27)x + 1
(iv) (49)x + 4 = 72 (343)x + 1
(i)
(ii)
(iii)
(iv)
Find x, if:
(i)
(ii)
(iii)
(iv)
(i)
(ii)
(iii)
(iv)
Solve:
(i) 4x - 2 - 2x + 1 = 0
(ii)
(i)
(ii)
Solve :
(i) 8 22x + 4
2x+1 = 1 + 2x
(ii)22x + 2x+2 - 4 23 = 0
(iii)
(i)
(ii)
(iii)
Find the values of m and n if:
Prove that:
(i) =1
(ii)
(i)
(ii)
If ax = b, by = c and cz = a, prove that: xyz = 1.
If ax = by = cz and b2 = ac, prove that :.
If 5-P = 4-q = 20r, show that:
If m ≠ n and (m + n)-1 (m-1 + n-1) = mxny, show that:
x + y + 2 = 0
If 5x + 1 = 25x - 2, find the value of
3x - 3 × 23 - x
If 4x + 3 = 112 + 8 × 4x, find the value of (18x)3x.
9x+2 = 720 + 9x
9x+2 = 720 + 9x
⇒ 9x+2 - 9x = 720
⇒ 9x (92 - 1) = 720
⇒ 9x (81 - 1) = 720
⇒ 9x (80) = 720
⇒ 9x = 9
⇒ 9x = 91
⇒ x = 1
Solve for x:
4x-1 × (0.5)3 - 2x =
Solve for x:
(a3x + 5)2. (ax)4 = a8x + 12
Solve for x:
Solve for x:
23x + 3 = 23x + 1 + 48
Solve for x:
3(2x + 1) - 2x + 2 + 5 = 0
Chapter 7 - Indices (Exponents) Exercise Ex. 7(C)
Solve: 3x-1× 52y-3 = 225.
If 3x+1 = 9x-3, find the value of 21+x.
Solve: 3(2x + 1) - 2x+2 + 5 = 0.
If (am)n = am .an, find the value of:
m(n - 1) - (n - 1)
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