Exponents ICSE Class-8th Concise Selina Power Solutions Chapter-2. We provide step by step Solutions of Exercise / lesson-2 Exponents ICSE Class-8th Concise Selina Mathematics. Our Solutions contain all type Questions with Exe-2 A and Exe-2 B,  to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-8.

Exponents ICSE Class-8th Concise Selina Power Solutions Chapter-2

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–: Select Topics :–

Exe-2 A,

 Exe-2 B,

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Laws of Exponents / Power

Law	Example
x1 = x	61 = 6
x0 = 1	70 = 1
x-1 = 1/x	4-1 = 1/4
xmxn = xm+n	x2x3 = x2+3 = x5
xm/xn = xm-n	x6/x2 = x6-2 = x4
(xm)n = xmn	(x2)3 = x2×3 = x6
(xy)n = xnyn	(xy)3 = x3y3
(x/y)n = xn/yn	(x/y)2 = x2 / y2
x-n = 1/xn	x-3 = 1/x3
And the law about Fractional Exponents:
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 Exercise – 2 A Exponents ICSE Class-8th Concise Selina Power Solutions

Question 1 :-

Evaluate:

Answer :-

Question 2 :-

If 1125 = 3^m x 5ⁿ; find m and n.

Answer 2:-

1125 = 3² x 5³

The factor of 1125 are 3 x 3 x 5 x 5 x 5

∴ 1125 = 3 x 3 x 5 x 5 x 5

Now comparing, 3² x 5³ = 3^m x 5ⁿ

∴ m = 2, n = 3

 

Question 3 :-

Find x, if 9 × 3^x = (27)^2x-3
Answer 3 :-

9 x 3^x = (27) ^2x-3

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 Exe -2 B  Exponents / Power ICSE Class-8th Concise selina 

Question 1 :-

Compute:

Answer 1 :-

Question 2 :-

Simplify:
(i) 
(ii) [(64)^-2]^-3 ÷ [{(-8)²}³]²
(iii) (2^-3 – 2^-4) (2^-3 + 2^-4)

Answer 2 :-

(ii)

(iii)

Question 3 :-

Evaluate:
(i) (−5)⁰
(ii) 8⁰+4⁰+2⁰

(iii) (8+4+2)⁰

(iv) 4X⁰

(v) (4x)⁰

(vi) [(10³)⁰⁾⁰]⁵

(vii) (7X⁰)²

(viii) 9⁰+9^-1−9^-2+ 9^1/2 − 9^1/2

Answer 3:-

(i) (−5)⁰

(−5)⁰ =1

( a⁰ =1)

(ii) 

(iii) 

(iv) 

(vi) 

(vii) 

(viii) 

9⁰+9^-1−9^-2+ 9^1/2 − 9^1/2

Question 4 :-

Simplify:

(i) 

(ii)

(iii)

(iv)

(v)

(vi)

(vii) 

(viii)

Answer 4 :-

(i)

(ii)

(iii) 

(iv)

(v)

(vi)

(vii) 

(viii)

Question 5 :-

Simplify:
(x^a+b)^a-b.(x^b+c)^b-c.(x^c+a)^c-a

Answer 5 :-

Question 6 :-

Simplify:
(i)
(ii) 

Answer 6 :-

(i)

(ii)

Question 7 :-

(i) (a^-2)^-2. (ab)^-3
(ii) (xⁿy^-m)⁴ × (x³y^-2)^-n
(iii) 
(iv)
(v) (a^-2b)^1/2 × (ab^-3)^1/3
(vi) (xy)^m-n . (yz)^n-1 . (zx)^1-m

Answer 7 :-

(i)

(ii)

(iii)

(iv)

(v)

(vi) 

 

Question 8 :-

Show that:

Answer 8:-

 

Question 9 :-

Evaluate:

Answer 9 :-

 

Question 10 :-

Evaluate:

Answer 10 :-

 

Question 11 :-

(m + n)^-1 (m^-1 + n^-1) = (mn)^-1

Answer 11:-

Hence Proved.

 

Question 12 :-

Prove that:

(i)

(ii) 

Answer :-

(i) 

(ii)

Question 13 :-

Find the values of n, when:
(i) 12^-5 × 12²ⁿ⁺¹ = 12¹³ ÷ 12⁷
(ii) 

Answer :-

(i) 

(ii)

Question 14 :-

Simplify:

(i)

(ii) 

Answer 14 :-

 

(i)

(ii)

— End of Exponents ICSE Class-8th Concise Solutions :–

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