# Class 8 Maths Chapter 12 Exponents and Powers MCQs

**Class 8 Maths Chapter 12 Exponents and Powers MCQs (Questions and Answers)** are available online for students. These objective questions are designed by experts, according to the **CBSE** syllabus **(2021-2022)** and **NCERT** guidelines. The chapter-wise multiple-choice questions are available, to make students learn each concept and lead them to score good marks in exams. Also, learn important questions for class 8 Maths here.

Practice more and test your skills on Class 8 Maths Chapter 12 Exponents and Powers MCQs with the given PDF here.

## MCQs on Class 8 Exponents and Powers

Multiple choice questions (MCQs) are given for Class 8 Exponents and Powers chapter. Solve each question and choose the right answer.

**1. The value of 2 ^{-2} is:**

A. 4

B. ¼

C. 2

D. ½

Answer: **B**

Explanation: 2^{-2} = 1/2^{2} = ¼

**2. The multiplicative inverse of 7 ^{-2 }is:**

A. 7^{2}

B. 7

C. 1/7^{2}

D. 1/7

Answer: **A**

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} = 1/7^{2}

Hence, 7^{2} x 1/7^{2} = 1

**3. 2 ^{2} x 2^{3} x 2^{4} is equal to:**

A. 2^{24}

B. 2^{-5}

C. 2^{9}

D. 2^{-9}

Answer:** C**

Explanation: By laws of exponents:

a^{m} x a^{n} = a^{m+n}

2^{2} x 2^{3} x 2^{4} = 2^{2+3+4} = 2^{9}

**4. 3 ^{-2} x 3^{-5} is equal to:**

A. 3^{-7}

B. 3^{-3}

C. 3^{-10}

D. 3^{7}

Answer: **A**

Explanation: 3^{-2} x 3^{-5 } = (1/3^{2}) x (1/3^{5})

= (1/3^{2+5})

= (1/3^{7})

= 3^{-7}

**5. 5 ^{4}/5^{2} is equal to:**

A. 5^{6}

B. 5^{-6}

C. 5^{-2}

D. 5^{2}

Answer: **D**

Explanation: By exponent law:

a^{m}/a^{n} = a^{m-n}

5^{4}/5^{2} = 5^{4-2} = 5^{2}

**6. The value of (3 ^{4})^{3} is:**

A. 3

B. 3^{12}

C. 3^{7}

D. None of the above

Answer: **B**

Explanation: By law of exponent:

(a^{m})^{n} = a^{mn}

(3^{4})^{3} = 3^{4×3} = 3^{12}

**7. 3 ^{2} x 4^{2} is equal to:**

A. 121

B. 49

C. 144

D. 156

Answer: **C**

Explanation: By exponent law;

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

3^{2} x 4^{2} = (3×4)^{2} = 12^{2} = 144

**8. 5 ^{7}/6^{7} will give the value:**

A. (⅚)^{7}

B. (⅚)^{0}

C. (⅚)^{-7}

D. (6/5)^{-7}

Answer: **A**

Explanation: By exponent law:

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

5^{7}/6^{7} = (⅚)^{7}

**9. 100 ^{0}+20^{0}+5^{0} is equal to**

A. 125

B. 25

C. 1/125

D. 3

Answer: **D**

Explanation: By exponent law we know:

a^{0} = 1

100^{0} + 20^{0} + 5^{0} = 1+1+1 = 3

**10. If (–3) ^{m+1} × (–3)^{5} = (–3)^{7}, then the value of m is:**

A. 5

B. 7

C. 1

D. 3

Answer: **C**

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

**11. Find the multiplicative inverse of 5 ^{-3}.**

A. 5^{3}

B. ⅕

C. 5^{2}

D. 5^{-2}

Answer: A

Explanation: The multiplicative inverse of 5-3 is 53.

5^{-3} x 5^{3} = 1

**12. The multiplicative inverse of 1/3 ^{2} is:**

A. 3^{-2}

B. 3^{2}

C. 3

D. ⅓

Answer: B. 3^{2}

Explanation: The multiplicative inverse of 1/3^{2} is 3^{2}.

1/3^{2} x 3^{2} = 1

**13. What is the value of 4 ^{2} x 4^{-2}?**

A. 16

B. 8

C. 1

D. 0

Answer: C.1

Explanation: 4^{2} x 4^{-2}

By law of exponents:

= 4^{2+(-2)} = 4^{2-2} = 4^{0} = 1

**14. (⅓) ^{2} is equal to:**

A. 9

B. -9

C. -1/9

D. 1/9

Answer: D. 1/9

Explanation: (⅓)^{2} = (⅓ x ⅓) = 1/9

**15. What is the value of (2 ^{2} + 3^{2} + 4^{2})^{0}?**

A. 9

B. 0

C. 1

D. 14

Answer: C.1

Explanation: The value of (2^{2} + 3^{2} + 4^{2})^{0} is 1.

By exponent law, any value raised to the power 0 is equal to 1.

**16. (-1) ^{20} is equal to:**

A. -1

B. 1

C. 0

D. 20

Answer: B.1

Explanation: (-1)^{20} is equal to 1 because if a negative number is raised to the power of an even number, then the resulting value will be positive.

**17. 700000000 is equal to:**

A. 7 × 10^{8}

B. 7 × 10^{7}

C. 7 × 10^{6}

D. 7 × 10^{9}

Answer: A. 7 × 10^{8}

**18. 865000 is equal to:**

A. 8.65 × 10^{5}

B. 8.65 × 10^{3}

C. 8.65 × 10^{6}

D. 8.65 × 10^{4}

Answer: A. 8.65 × 10^{5}

**19. 1.8 × 10 ^{11} is equal to:**

A. 180000000000

B. 18000000000

C. 1800000000

D. 1800000000000

Answer: A. 180000000000

**20. 0.09 × 10 ^{10} is equal to:**

A. 900000000

B. 9000000

C. 9000

D. 9

Answer: A. 900000000