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1. Rational Numbers Class 8 MCQ Questions
2. Linear Equations in One Variable Class 8 MCQ Questions
3. Understanding Quadrilaterals Class 8 MCQ Questions
4. Practical Geometry Class 8 MCQ Questions
5. Data Handling Class 8 MCQ Questions
6. Squares and Square Roots Class 8 MCQ Questions
7. Cubes and Cube Roots Class 8 MCQ Questions
8. Comparing Quantities Class 8 MCQ Questions
9. Algebraic Expressions and Identities Class 8 MCQ Questions
10. Visualising Solid Shapes Class 8 MCQ Questions
11. Mensuration Class 8 MCQ Questions
12. Exponents and Powers Class 8 MCQ Questions
13. Direct and Indirect Proportions Class 8 MCQ Questions
14. Factorisation Class 8 MCQ Questions
15. Introduction to Graphs Class 8 MCQ Questions
16. Playing with Numbers Class 8 MCQ Questions

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Students can also refer to NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers for better exam preparation and score more marks.

Online Education for Exponents and Powers Class 8 MCQs Questions with Answers

Exponents And Powers Class 8 MCQ Question 1.
a^m x a^m is equal to
(a) a^m+n
(b) a^m-n
(c) a^mn
(d) a^n-m

Answer

Answer: (a) a^m+n
Hint:
Formula

---

MCQ On Exponents And Powers For Class 8 Question 2.
a^m ÷ aⁿ is equal to
(a) a^m-n
(b) a^m+n
(c) a^mn
(d) a^n-m

Answer

Answer: (a) a^m-n
Hint:
Formula

---

Class 8 Maths Chapter 12 MCQ Question 3.
(a^m)ⁿ is equal to
(a) a^m+n
(b) a^m-n
(c) a^mn
(d) a^n-m

Answer

Answer: (c) a^mn
Hint:
Formula

---

Class 8 Exponents And Powers MCQ Question 4.
a^m × b^m is equal to
(a) (ab)^m
(b) (ab)^-m
(c) a^m b
(d) ab^m

Answer

Answer: (a) (ab)^m
Hint:
Formula

---

MCQ Of Exponents And Powers Class 8 Question 5.
a⁰ is equal to
(a) 0
(b) 1
(c) -1
(d) a.

Answer

Answer: (b) 1
Hint:
Formula

---

Exponents And Powers MCQ Class 8 Question 6.
\(\frac{a^m}{b^m}\) is equal to bm
(a) (\(\frac{a}{b}\))^m
(b) (\(\frac{b}{a}\))^m
(c) (\(\frac{a^m}{b}\))^m
(d) (\(\frac{a}{b^m}\))^m

Answer

Answer: (a) (\(\frac{a}{b}\))^m
Hint:
Formula

---

MCQ Questions On Exponents And Powers For Class 8 Question 7.
2 × 2 × 2 × 2 × 2 is equal to
(a) 2⁴
(b) 2³
(c) 2²
(d) 2⁵

Answer

Answer: (d) 2⁵
Hint:
Formula

---

MCQ Questions For Class 8 Maths Exponents And Powers Question 8.
In 10², the exponent is
(a) 1
(b) 2
(c) 10
(d) 1.

Answer

Answer: (b) 2
Hint:
Definition of exponent

---

Class 8 Maths Exponents And Powers MCQ Question 9.
In 10² the base is
(a) 1
(b) 0
(c) 10
(d) 100.

Answer

Answer: (c) 10
Hint:
Definition of base

---

MCQ Exponents And Powers Class 8 Question 10.
10^-1 is equal to
(a) 10
(b) -1
(c) \(\frac{1}{10}\)
(d) –\(\frac{1}{10}\)

Answer

Answer: (c) \(\frac{1}{10}\)
Hint:
10^-1 = \(\frac{1}{10^1}\) = \(\frac{1}{10}\)

---

MCQs On Exponents And Powers Class 8 Question 11.
The multiplicative inverse of 2-3 is
(a) 2
(b) 3
(c) 3
(d) 23

Answer

Answer: (d) 23
Hint:
2^-3. 2³ = 2^-3+3 = 2⁰ = 1

---

Class 8 Maths Ch 12 MCQ Question 12.
The multiplicative inverse of 10⁵ is
(a) 5
(b) 10
(c) 10^-5
(d) 10⁵.

Answer

Answer: (c) 10^-5
Hint:
10⁵. 10^-5 = 2^5-5 = 10⁰ = 1

---

Exponents And Powers Class 8 MCQ Pdf Question 13.
The multiplicative inverse of \(\frac{1}{2^2}\) is 22
(a) 2⁵
(b) 2²
(c) 2
(d) 1.

Answer

Answer: (b) 2²
Hint:
\(\frac{1}{2^2}\) = 2² = 1

---

MCQ Questions For Class 8 Maths Chapter 12 Question 14.
The multiplicative inverse of 10¹⁰ is
(a) 10
(b) \(\frac{1}{10}\)
(c) 10^-10
(d) 10¹⁰.

Answer

Answer: (d) 10¹⁰
Hint:
10^-10.10¹⁰ = 10^-10+10 = 10⁰ = 1

---

Exponents And Powers Class 8 MCQ With Answers Question 15.
The multiplicative inverse of am is
(a) a
(b) m
(c) a^m
(d) a^-m

Answer

Answer: (d) a^-m
Hint:
Definition of multiplicative inverse

---

MCQ Questions On Exponents For Class 8 With Answers Question 16.
5³ × 5^-1 is equal to
(a) 5
(b) 5³
(c) 5^-1
(d) 5²

Answer

Answer: (d) 5²
Hint:
5³ × 5^-1 = 5^3-1 = 5²

---

Class 8 Maths Chapter Exponents And Powers MCQ Question 17.
(- 2)^-5 x (-2)⁶ is equal to
(a) 2
(b) -2
(c) -5
(d) 6.

Answer

Answer: (b) -2
Hint:
(-2)^-5 × (-2)⁶ = (-2)^-5+6 = (-2)¹ = -2

---

Exponents And Powers Class 8 Extra Questions MCQ Question 18.
3² × 3^-4 × 3⁵ is equal to
(a) 3
(b) 3²
(c) 3³
(d) 3⁵

Answer

Answer: (c) 3³
Hint:
3² × 3^-4 × 3⁵ = 3^2-4+5 = 3³

---

MCQ For Exponents And Powers Class 8 Question 19.
(-2)^-2 is equal to
(a) \(\frac{1}{4}\)
(b) \(\frac{1}{2}\)
(c) –\(\frac{1}{2}\)
(d) –\(\frac{1}{4}\)

Answer

Answer: (a) \(\frac{1}{4}\)
Hint:
(-2)^-2 = \(\frac{1}{(-2)^2}\) = \(\frac{1}{4}\)

---

Exponents And Powers Class 8 MCQ Questions Question 20.
(\(\frac{1}{2}\))^-4 is equal to
(a) 2
(b) 2^-4
(c) 1
(d) 2^-4

Answer

Answer: (b) 2^-4
Hint:
(\(\frac{1}{2}\))^-4 = \(\frac{(1)^{-4}}{(2)^{-4}}\) = \(\frac{1}{(2)^{-4}}\) = 2⁴

---

Exponents And Radicals Class 8 MCQ Question 21.
(2° + 4^-1) × 2² is equal to
(a) 2
(b) 3
(c) 4
(d) 5

Answer

Answer: (d) 5
Hint:
(2⁰ + 4^-1) × 2² = (1 + \(\frac{1}{4}\)) × 4 = \(\frac{5}{4}\) × 4 = 5

---

Question 22.
(2^-1 + 3^-1 + 5^-1)⁰ is equal to
(a) 2
(b) 3
(c) 5
(d) 1.

Answer

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

---

Question 23.
3^m + 3^-3 = 3⁵ ⇒ m is equal to
(a) 1
(b) 2
(c) 3
(d) 4.

Answer

Answer: (b) 2
Hint:
3^m + 3^-3= 3⁵ ⇒ 3^m+3 = 3⁵
⇒ m + 3 = 5 ⇒ m = 2

---

Question 24.
(-2)^m+1 × (-2)⁴ = (-2)⁶ ⇒ m =
(a) 0
(b) 1
(c) -1
(d) none of these.

Answer

Answer: (b) 1
Hint:
(-2)^m+1 × (-2)⁴ = (-2)⁶
⇒ (-2)^m+1+4 = (-2)⁶
⇒ m + 5 = 6 ⇒ m = 1

---

Question 25.
(-1)⁵⁰ is equal to
(a) -1
(b) 1
(c) 50
(d) – 50.

Answer

Answer: (b) 1
Hint:
(-1) ^{even natural number} = 1

---

Question 26.
(-1)⁵¹ is equal to
(a) -1
(b) 1
(c) 51
(d) -51.

Answer

Answer: (a) -1
Hint:
(-1) ^{odd natural number} = -1

---

Question 27.
149600000000 is equal to
(a) 1.496 × 10¹¹
(b) 1.496 × 10¹⁰
(c) 1.496 × 10¹²
(d) 1.496 × 10⁸.

Answer

Answer: (a) 1.496 × 10¹¹
Hint:
149,600,000,000 = 1.496 × 10¹¹

---

Question 28.
300000000 is equal to
(a) 3 × 10⁸
(b) 3 × 10⁷
(c) 3 × 10⁶
(d) 3 × 10⁹

Answer

Answer: (a) 3 × 10⁸
Hint:
300,000,000 = 3 × 10⁸

---

Question 29.
0.000007 is equal to
(a) 7 × 10^-6
(b) 7 × 10^-5
(c) 7 × 10^-4
(d) 7 × 10^-3

Answer

Answer: (a) 7 × 10^-6
Hint:
0.000007 = 7 × 10^-6

---

Question 30.
384467000 is equal to
(a) 3.84467 × 10⁸
(b) 3.84467 × 10³
(c) 3.84467 × 10⁷
(d) 3.84467 × 10⁶

Answer

Answer: (a) 3.84467 × 10⁸
Hint:
384467000 = 3.84467 × 10⁸

---

Question 31.
0.00001275 is equal to
(a) 1.275 × 10^-5
(b) 1.275 × 10^-3
(c) 1.275 × 10⁴
(d) 1.275 × 10³

Answer

Answer: (a) 1.275 × 10^-5
Hint:
0.00001275 = 1.275 × 10^-5

---

Question 32.
695000 is equal to
(a) 6.95 × 10⁵
(b) 6.95 × 10³
(c) 6.95 × 10⁶
(d) 6.95 × 10⁴

Answer

Answer: (a) 6.95 × 10⁵
Hint:
695000 = 6.95 × 10⁵

---

Question 33.
503600 is equal to
(a) 5.036 × 10⁵
(b) 5.036 × 10⁶
(c) 5.036 × 10⁴
(d) 5.036 × 10⁷

Answer

Answer: (a) 5.036 × 10⁵
Hint:
503600 = 5.036 × 10⁵

---

Question 34.
0.0016 is equal to
(a) 1.6 × 10^-3
(b) 1.6 × 10^-2
(c) 1.6 × 10^-4
(d) 1.6 × 10^-5

Answer

Answer: (a) 1.6 × 10^-3
Hint:
0.0016 = 1.6 × 10^-3

---

Question 35.
0.000003 is equal to
(a) 3 × 10^-6
(b) 3 × 10⁶
(c) 3 × 10⁵
(d) 3 × 10^-5

Answer

Answer: (a) 3 × 10^-6
Hint:
0.000003 = 3 × 10^-6

---

Question 36.
8848 is equal to
(a) 8.848 × 10³
(b) 8.848 × 10²
(c) 8.848 × 10
(d) 8.848 × 10⁴

Answer

Answer: (a) 8.848 × 10³
Hint:
8848 = 8.848 × 10³

---

Question 37.
1.5 × 10¹¹ is equal to
(a) 150000000000
(b) 15000000000
(c) 1500000000
(d)1500000000000.

Answer

Answer: (a) 150000000000
Hint:
1.5 × 10¹¹ = 150,000,000,000

---

Question 38.
2.1 × 10^-6 is equal to
(a) 0.0000021
(b) 0.000021
(c) 0.00021
(d) 0.0021.

Answer

Answer: (a) 0.0000021
Hint:
2.1 × 10^-6 = 0.0000021

---

Question 39.
2.5 × 10⁴ is equal to
(a) 25
(b) 250
(c) 2500
(d) 25000.

Answer

Answer: (d) 25000
Hint:
2.5 × 10⁴ = 25000

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Question 40.
0.07 × 10¹⁰ is equal to
(a) 700000000
(b) 7000000
(c) 7000
(d) 7.

Answer

Answer: (a) 700000000
Hint:
0.07 × 10¹⁰ = 700,000,000.

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Question 41.
The value of 2^-2 is:
(a) 4
(b) ¼
(c) 2
(d) ½

Answer

Answer: (b) ¼
Hint:
2^-2 = 1/2² = ¼

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Question 42.
The multiplicative inverse of 7^-2 is:
(a) 7²
(b) 7
(c) 1/7²
(d) 1/7

Answer

Answer: (a) 7²
Hint:
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

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Question 43.
2² x 2³ x 2⁴ is equal to:
(a) 2²⁴
(b) 2^-5
(c) 2⁹
(d) 2^-9

Answer

Answer: (c) 2⁹
Hint:
By laws of exponents:
a^m x aⁿ = a^m+n
2² x 2³ x 2⁴ = 2²⁺³⁺⁴ = 2⁹

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Question 44.
3^-2 x 3^-5 is equal to:
(a) 3^-7
(b) 3^-3
(c) 3^-10
(d) 3⁷

Answer

Answer: (a) 3^-7
Hint:
3^-2 x 3^-5 = (1/3²) x (1/3⁵)
= (1/3²⁺⁵)
= (1/3⁷)
= 3^-7

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Question 45.
5⁴/5² is equal to:
(a) 5⁶
(b) 5^-6
(c) 5^-2
(d) 5²

Answer

Answer: (d) 5²
Hint:
By exponent law:
a^m/aⁿ = a^m-n
5⁴/5² = 5^4-2 = 5²

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Question 46.
The value of (3⁴)³ is:
(a) 3
(b) 3¹²
(c) 3⁷
(d) None of the above

Answer

Answer: (b) 3¹²
Hint:
By law of exponent:
(a^m)ⁿ = a^mn
(3⁴)³ = 3^4×3 = 3¹²

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Question 47.
3² x 4² is equal to:
(a) 121
(b) 49
(c) 144
(d) 156

Answer

Answer: (c) 144
Hint:
By exponent law;
a^m x b^m = (ab)^m
3² x 4² = (3×4)² = 12² = 144

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Question 48.
5⁷/6⁷ will give the value:
(a) (5/6)⁷
(b) (5/6)⁰
(c) (5/6)^-7
(d) (6/5)^-7

Answer

Answer: (a) (5/6)⁷
Hint:
By exponent law:
a^m/b^m = (a/b)^m
5⁷/6⁷ = (⅚)⁷

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Question 49.
100⁰+20⁰+5⁰ is equal to
(a) 125
(b) 25
(c) 1/125
(d) 3

Answer

Answer: (d) 3
Hint:
By exponent law we know:
a⁰ = 1
100⁰ + 20⁰ + 5⁰ = 1 + 1 + 1 = 3

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Question 50.
If (–3)^m+1 × (-3)⁵ = (-3)⁷, then the value of m is:
(a) 5
(b) 7
(c) 1
(d) 3

Answer

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

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