unique questions on Indices ( Exponents)

 

 

Here are 50 unique and simple multiple-choice questions (MCQs) on Indices (Exponents & Powers) for school competitive exams:

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Basic Concept of Indices (Exponents)

1. What is the value of 2³?
A) 6
B) 8
C) 9
D) 12
Answer: B) 8

2. The exponent in 5² is:
A) 5
B) 2
C) 10
D) 25
Answer: B) 2

3. The base in 7³ is:
A) 7
B) 3
C) 21
D) 49
Answer: A) 7

4. What is 10⁰ equal to?
A) 0
B) 1
C) 10
D) Undefined
Answer: B) 1

5. Which of the following is equal to 3⁴?
A) 3 × 4
B) 3 + 3 + 3 + 3
C) 3 × 3 × 3 × 3
D) 4 × 4 × 4
Answer: C) 3 × 3 × 3 × 3

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Laws of Indices

6. What is 5³ × 5²?
A) 5⁵
B) 5⁶
C) 5¹
D) 5¹⁰
Answer: A) 5⁵

7. What is (2³)²?
A) 2⁵
B) 2⁶
C) 2⁷
D) 2⁹
Answer: B) 2⁶

8. What is 4⁷ ÷ 4³?
A) 4¹
B) 4²
C) 4³
D) 4⁴
Answer: D) 4⁴

9. What is (3² × 3³)?
A) 3⁵
B) 3⁶
C) 3⁴
D) 3⁷
Answer: A) 3⁵

10. What is (x⁵ ÷ x²)?
A) x²
B) x³
C) x⁷
D) x¹⁰
Answer: B) x³

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Negative and Fractional Indices

11. What is 2⁻³?
A) -8
B) 8
C) 1/8
D) 1/3
Answer: C) 1/8

12. What is the value of 5⁻²?
A) 1/5²
B) 5²
C) 25
D) -25
Answer: A) 1/5²

13. What is the value of (4⁻¹)?
A) -4
B) ¼
C) 4
D) 16
Answer: B) ¼

14. What is the value of 9^(1/2)?
A) 3
B) 4.5
C) 9
D) 2
Answer: A) 3

15. What is the value of 16^(1/4)?
A) 2
B) 4
C) 8
D) 16
Answer: A) 2

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Solving Expressions with Indices

16. What is 2³ × 2⁴?
A) 2⁷
B) 2⁶
C) 2¹²
D) 2³
Answer: A) 2⁷

17. What is (x²)³?
A) x²
B) x⁵
C) x⁶
D) x³
Answer: C) x⁶

18. What is (2⁴ ÷ 2²)?
A) 2
B) 2³
C) 2²
D) 2⁶
Answer: C) 2²

19. What is (5⁰ × 10⁰)?
A) 0
B) 1
C) 10
D) 5
Answer: B) 1

20. What is (3³)⁰?
A) 0
B) 1
C) 3
D) 9
Answer: B) 1

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Exponent Rules and Applications

21. Which of the following is equal to (2⁵ ÷ 2³)?
A) 2²
B) 2³
C) 2⁸
D) 2⁷
Answer: A) 2²

22. If a³ × a⁵ = aⁿ, what is n?
A) 8
B) 15
C) 5
D) 3
Answer: A) 8

23. Which of the following is the same as 64^(1/3)?
A) 4
B) 16
C) 8
D) 2
Answer: A) 4

24. What is the square root of 100 written using indices?
A) 10²
B) 10³
C) 10^(1/2)
D) 100
Answer: C) 10^(1/2)

25. If (x³)² = x⁶, what is the rule applied?
A) Power of a Power Rule
B) Multiplication Rule
C) Division Rule
D) Negative Exponent Rule
Answer: A) Power of a Power Rule

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Higher-Order Indices Questions

26. What is (x⁴ ÷ x²)?
A) x⁶
B) x²
C) x⁸
D) x⁵
Answer: B) x²

27. What is the value of (10⁻²)?
A) 1/100
B) 10
C) -100
D) 100
Answer: A) 1/100

28. What is the cube root of 27 in index form?
A) 27^(1/3)
B) 27²
C) 27³
D) 27⁻³
Answer: A) 27^(1/3)

29. The reciprocal of 3⁴ is:
A) 3⁻⁴
B) 3³
C) 3²
D) 3⁴
Answer: A) 3⁻⁴

30. What is (4⁵ ÷ 4³)?
A) 4²
B) 4⁸
C) 4⁶
D) 4³
Answer: A) 4²