Laws of Exponents quiz

Law of Exponents Multiple Choice Questions:

Question: (3²)² x (3²)⁴ / (27)⁴ ?
(a) 1
(b) 2
(c) 3
(d) 4
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Question: 25²⁵ is divided by 24, the remainder is
(a) 23
(b) 22
(c) 1
(d) 2
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Question: The unit’s digit in the product of (2467)¹⁵³ x (341)⁷² x (225)⁷²¹ is
(a) 1
(b) 3
(c) 5
(d) 7
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Related: Volume and Surface Area Free Quiz

Question: 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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Question: 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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Question: (243)^0.12 x (243)^0.08 equals
(a) 3
(b) 9
(c) 12
(d) 27
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Related: lines and angles quiz

Question: 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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Question: 8^1/3 x 16^1/4 x 2^–2 = ?
(a) 1
(b) 2
(c) 3
(d) 4
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Question: (2²)³ x (2³)² / 2⁶?
(a) 14
(b) 32
(c) 43
(d) 64
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Related: discrete mathematics questions and answers

Question: 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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Question: (4)^0.5 x (0.5)⁴ is equal to
(a) 1
(b) 4
(c) 1/8
(d) 1/32
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Question: The units digit in (2469)¹⁵³ will be
(a) 1
(b) 3
(c) 7
(d) 9
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Related: Problems on Euclidean Geometry

Question: If 5^a = 3125, find the value of 5^a–3
(a) 15
(b) 25
(c) 35
(d) 45
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Question: 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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