NCERT Book Exponents and powers MCQ Questions Class 8 Maths Chapter 12

Exponents and powers MCQ Questions Class 8 Maths Chapter 12

 

Chapter 12

Exponents and powers

Question 1:

Find 5° =?

(a) 12

(b) 21⁵ = 5°

(c) 5° = 1

(d) 5 = 2

Ans:

5° = 5/5 = 1 = 5° (c)

 

Question 2:

3^-3 =?, Find the value of 3^-3

(a) 1

(b) 1/3

(c) 1/9

(d) 1/27

Ans:

3^-3 = 1/3³ = 1/27 (a)

 

Question 3:

Find the value of (-5)⁸ × (-5)^-3

(a) (-5)⁵

(b) (-5)¹¹

(c) 1/(-5)⁵

(d) (-5)°

Ans:

(-5)⁸ × (-5)^-3 = (-5)^8-3 = (-5)⁵ (a)

 

Question 4:

Simplify [(-9)⁴ ÷ (-9)^-10] × (-9)^-10

(a) 1/-729

(b) 1/27

(c) 6561

(d) 1/6561

Ans:

[(-9)^-4/(-9)^-10] × (-9)^-10

= (-9)^-4 

= 1/(-9)⁴ = 1/6561 (d)

 

Question 5:

Evaluate (-5)^-4/(-25)^-8

(a) 5⁸

(b) 5¹⁰

(c) 5¹²

(d) 5⁹

Ans:

(-5)^-4/(-25)^-8 = (-25)⁸/(-5)⁴

= (-5)¹⁶/(-5)⁴ = (-5)¹² = 5¹² (c)

 

Question 6:

Find (5° + 4²) – (2² ÷ (2)

(a) 23

(b) 21

(c) 19

(d) 25

Ans:

(5° + 4²) – (2² ÷ (-2))

= (1 + 16) – (4 ÷ (-2))

= 17 + 2

= 19 (c)

 

Question 7:

Find the value of x. 3^x × 3^-9 = 3^-15 ÷ 3⁸

(a) 14

(b) -14

(c) -15

(d) -23

Ans:

3^x × 3^-9 = 3^-15/3⁸

3^x × 3^-9 = 3^-23

3^x = 3^-14

x = -14 (b) 

• In case you have missed:- Previous Chapter MCQ Questions

Question 8:

Find (3/4)^-3

(a) 25

(b) -25

(c) 64/27

(d) 27/64

Ans:

(3/4)^-3 = 4³/3³ = 64/27 (c)

 

Question 9:

Find the value of (1/2)^-3 + (1/3)^-2 + (1/5)^-3

(a) 142

(b) 144

(c) 146

(d) 188

Ans:

(1/2)^-3 + (1/3)^-2 + (1/5)^-3

= 2³ + 3² + 5³

= 8 + 9 + 125

= 142

142 (a)

 

Question 10:

Evaluate {(1/2)^-2 – (1/3)^-3}^-2

(a)  1/529

(b) -529

(c) 1/-529

(d) 1/425

Ans:

{(1/2)^-2 – (1/3)^-3}^-2

= {4 – 27}^-2

= {-23}^-2

= 1/23²

= 1/529 (a)

 

Question 11:

Find {(-4/5)^-2}³

(a) 4096/15625

(b) 15625/4096

(c) -25

(d) +23

Ans:

(-4/5)^-6

= (5/-4)⁶

= 15625/4096 (b)

 

Question 12: 

Express the following numbers in the standard form?

4197000000

(a) 4197×10⁶

(b) 4197×10⁸

(c) 4197×10^-3

(d) 4197

Ans:

4197000000 = 4197×1000000

= 4197 × 10⁶ (a)

 

Question 13:

0.00000009527

(a) -9527²

(b) 9527⁴

(c) 9.527×10^-8

(d) 9527×10⁸

Ans:

0.00000009527 = 9.527×10^-8 (c)

 

Question 14:

Express the following numbers in usual form.

3.04 × 10^-6

(a) 0.00000304 

(b) 0.000304

(c) -1/304

(d) 0.0304

Ans:

3.04/1000000 = 0.00000304 (a)

 

Question 15:

1.0001 × 10⁸

(a) 10010000

(b) 100010000

(c) 10001000

(d) -10001000

Ans:

1.0001×10⁸

= 1.0001 × 100000000

= 100010000 (b)

• In case you have missed:- Next Chapter MCQ Questions 

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