Question

Class 8 Maths MCQ Questions of Exponents and Powers with Answers?

Answer 1

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Practice MCQ Question for Class 8 Maths chapter-wise

1. a⁰ is equal to

(a) 0
(b) 1
(c) -1
(d) a

2. 10^-1 is equal to

(a) 10
(b) -1
(c) 1/10
(d) –1/10

3. Multiplicative inverse of (2/−3) is

(a) 2/3
(b) -3/2
(c) 3/2
(d) –1/10

4. 5³ × 5^-1 is equal to

(a) 5
(b) 5³
(c) 5^-1
(d) 5²

5. (- 2)^-5 x (-2)⁶ is equal to

(a) 2
(b) -2
(c) -5
(d) 6

6. 3² × 3^-4 × 3⁵ is equal to

(a) 3
(b) 3²
(c) 3³
(d) 3⁵

7. (2⁰ + 4^-1) × 2² is equal to

(a) 2
(b) 3
(c) 4
(d) 5

8. (2^-1 + 3^-1 + 5^-1)⁰ is equal to

(a) 2
(b) 3
(c) 5
(d) 1

9. (-2)^m+1 × (-2)⁴ = (-2)⁶ ⇒ m =

(a) 0
(b) 1
(c) -1
(d) none of these

10. (-1)⁵⁰ is equal to

(a) -1
(b) 1
(c) 50
(d) – 50

11. 2² x 2³ x 2⁴ is equal to:

(a) 2²⁴
(b) 2^-5
(c) 2⁹
(d) 2^-9

12. 3^-2 x 3^-5 is equal to:

(a) 3^-7
(b) 3^-3
(c) 3^-10
(d) 3⁷

13. 5⁴/5² is equal to:

(a) 5⁶
(b) 5^-6
(c) 5^-2
(d) 5²

14. The value of (3⁴)³ is:

(a) 3
(b) 3¹²
(c) 3⁷
(d) None of the above

15. 3² x 4² is equal to:

(a) 121
(b) 49
(c) 144
(d) 156

16. 5⁷/6⁷ will give the value:

(a) (5/6)⁷
(b) (5/6)⁰
(c) (5/6)^-7
(d) (6/5)^-7

17. 100⁰+20⁰+5⁰ is equal to

(a) 125
(b) 25
(c) 1/125
(d) 3

18. If (–3)^m+1 × (-3)⁵ = (-3)⁷, then the value of m is:

(a) 5
(b) 7
(c) 1
(d) 3

19. Very small numbers can be expressed in standard form using __________ exponents.

(a) equal
(b) negative
(c) positive
(d) none of these

20. The multiplicative inverse of 7^-2 is:

(a) 7²
(b) 7
(c) 1/7²
(d) 1/7

21. (1/3)² is equal to:

(a) 9
(b) -9
(c) -1/9
(d) 1/9

22. Reciprocal of 1 is

(a) 0
(b) 1
(c) -1
(d) none of these

23. 384467000 is equal to

(a) 3.84467 × 10⁸
(b) 3.84467 × 10³
(c) 3.84467 × 10⁷
(d) 3.84467 × 10⁶

24. When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.

(a) equal
(b) different
(c) not equal
(d) None of these

25. Find the value of the expression a² for a = -10.

(a) 100
(b) 1
(c) 10
(d) None of these

Answer 2

 1. Answer: (b) 1

Explanation: The value of any non - zero number raised to the power 0 is 1.

2.  Answer: (c) 1/10

Explanation: 10^-1 = 1/10¹ 

= 1/10

3.  Answer: (b) -3/2

Explanation: Multiplicative inverse of a/b is b/a So,

The multiplicative inverse of (−2/3) is (−3/2)

4.  Answer: (d) 5²

Explanation:5³ × 5^-1

= 5^3-1

= 5²

5.  Answer: (b) -2

Explanation:(- 2)^-5 x (-2)⁶

 = (-2)^-5+6 

= (-2)¹ 

= -2

6.  Answer: (c) 3³

Explanation: 3² × 3^-4 × 3⁵ 

= 3^{2 - 4 + 5} 

= 3³

7. Answer: (d) 5

Explanation: (2⁰ + 4^-1) × 2²

\((1+\frac{1}{4})\times4\)

\(\frac{5}{4}\times4\)

 = 5

8.  Answer: (d) 1

Explanation: (2^-1 + 3^-1+ 5^-1)⁰ = 1 [∵ a⁰ = 1]

9.  Answer: (b) 1

Explanation: (-2)^m+1 × (-2)⁴ = (-2)⁶

⇒ (-2)^m+1+4 = (-2)⁶

⇒ m + 5 = 6

 ⇒ m = 1

10.  Answer: (b) 1

Explanation: (-1) ^{even natural number} = 1

11.  Answer: (c) 2⁹

Explanation:laws of exponents:

a^m x aⁿ = a^m+n

2² x 2³ x 2⁴

= 2²⁺³⁺⁴ 

= 2⁹

12.  Answer: (a) 3^-7

Explanation: 3^-2 x 3^-5

= (1/3²) x (1/3⁵)

= (1/3²⁺⁵)

= (1/3⁷)

= 3^-7

13.  Answer :(d) 5²

Explanation: Exponent law:

a^m/aⁿ = a^m-n

= 5⁴/5² 

= 5^4-2 

= 5²

14.  Answer: (b) 3¹²

Explanation:By law of exponent:

(a^m)ⁿ = a^mn

(3⁴)³ = 3^4×3 

= 3¹²

15.  Answer: (c) 144

Explanation:exponent law;

a^m x b^m = (ab)^m

= 3² x 4² 

= (3×4)²

 = 12² 

= 144

16. Answer: (a) (5/6)⁷

Explanation:Exponent law:

a^m/b^m = (a/b)^m

= 5⁷/6⁷ 

= (5/6)⁷

17. Answer: (d) 3

Explanation: exponent law we know:

a⁰ = 1

= 100⁰ + 20⁰ + 5⁰ 

= 1 + 1 + 1 

= 3

18.  Answer: (c) 1

Explanation: (-3)^m+1 × (-3)⁵ = (-3)⁷

(-3)^m+1+5 = (-3)⁷

(-3)^m+6 = (-3)⁷

Since, base are equal on both the sides, hence if we compare the powers,

m + 6 = 7

m = 7 – 6

= 1

19.  Answer: (b) negative

Explanation:A very small number can be expressed in standard form by using 'negative' exponents.

20.  Answer: (a) 7²

Explanation:The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.

7^-2 = 1/7²

Hence, 7² x 1/7² 

= 1

21.  Answer: (d) 1/9

Explanation: (1/3)² = (1/3 x 1/3) 

= 1/9

22.  Answer: (b) 1

Explanation: multiplicative inverse of a number is a number which when multiplied with the original number produces 1. Therefore, the reciprocal of 1 is 1

23.  Answer: (a) 3.84467 × 10⁸

Explanation: 384467000 = 3.84467 × 10⁸

24.  Answer: (a) equal

Explanation: To add the numbers given in the standard form, we first convert them into numbers with "equal" exponents.

25. Answer: (a) 100

Explanation: Put the value of ’a’ in given equation

a² = (−10)²

= 100 

Therefore, the value of a² for a =−10 is 100.

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