Law of Exponents Multiple Choice Quizs Question

Q 1. The units digit in (2469)¹⁵³ will be
A. 1
B. 3
C. 7
D. 9

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Answer:-D. 9

Q 2. If 5^a = 3125, find the value of 5^a–3
A. 15
B. 35
C. 25
D. 45

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Answer:-C. 25

Q 3. If m and n are whole numbers such that mⁿ = 121, find the value of (m – 1)ⁿ⁺¹
A. 550
B. 200
C. 1000
D. 400

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Answer:-1000

Q 4. (2²)³ x (2³)² / 2⁶?
A. 14
B. 32
C. 43
D. 64

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Answer:-D. 64

Q 5. If 1.125 x 10^k = 0.001125, the value of k is
A. –4
B. –3
C. –2
D. –1

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Answer:-B. –3

Q 6.(4)^0.5 x (0.5)⁴ is equal to
A. 1
B. 4
C. 1/32
D. 1/8

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Answer:-D. 1/8

Q 7. (243)^0.12 x (243)^0.08 equals
A. 9
B. 3
C. 12
D. 27

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Answer:-B. 3

Q 8. A boy was asked to write the value of 2⁵ x 9². He wrote it as 2592. The difference between the obtained and the actual value is
A. 2¹ x 9²
B. 2² x 9³
C. 2³ x 9⁴
D. Zero

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Answer:-D. Zero

Q 9. 8^1/3 x 16^1/4 x 2^–2 = ?
A. 1
B. 2
C. 3
D. 4

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Answer:-A. 1

Q 10. If a³ b = ab³ c = 180 and a, b, and c are positive integers, the value of c is
A. 10
B. 15
C. 25
D. data inadequate

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Answer:-D. data inadequate

Q 11. If 2^x–1 + 2^x+1 = 1280, then the value of x is
A. 7
B. 8
C. 9
D. 10

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Answer:-C. 9

Q 12. (3²)² x (3²)⁴ / (27)⁴ ?

A. 1
B. 2
C. 3
D. 4

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Answer:-A. 1

Q 13. 25²⁵ is divided by 24, the remainder is
A. 23
B. 22
C. 1
D. 2

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Answer:-C. 1

Q 14. The unit’s digit in the product of (2467)¹⁵³ x (341)⁷² x (225)⁷²¹ is
A. 1
B. 3
C. 7
D. 5

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Answer:-D. 5