The Class 8 Maths Important MCQ Questions listed on the platform have the most relevant questions and the most accurate answers, from an exam point of view. The MCQ Questions for Class 8 Maths that are available on the official website of Sarthaks are surely the most reliable online resource. By going through the Important MCQ Questions for Class 8, students will get ample ideas about what kind of questions to expect in their exams and prepare accordingly.

While studying Mathematics, students need good material that can guide them in preparing for their exams. If students want to score high in Maths, then the wisest decision would be to avail these questions from the site. The experienced team of Sarthaks eConnect has put in immense research in coming up with these Class 8 Maths MCQ Questions of Exponents and Powers with Answers. Practice all Important MCQ Questions of Exponents and Powers Class 8 which are given here.

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:

 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.

Click here Practice MCQ Question for Exponents and Powers Class 8