## Law of Exponents Multiple Choice Questions:

**Question: **(3^{2})^{2} x (3^{2})^{4} / (27)^{4} ?^{
}(a) 1

(b) 2

(c) 3

(d) 4

**Question: **25^{25} is divided by 24, the remainder is

(a) 23

(b) 22

(c) 1

(d) 2

**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

Related: Volume and Surface Area Free Quiz

**Question: **If a^{3} b = ab^{3} c = 180 and a, b, and c are positive integers, the value of c is

(a) 10

(b) 15

(c) 25

(d) data inadequate

**Question: **If 2^{x–1} + 2^{x+1} = 1280, then the value of x is

(a) 7

(b) 8

(c) 9

(d) 10

**Question: **(243)^{0.12} x (243)^{0.08} equals

(a) 3

(b) 9

(c) 12

(d) 27

Related: lines and angles quiz

**Question: **A boy was asked to write the value of 2^{5} x 9^{2}. He wrote it as 2592. The difference between the obtained and the actual value is

(a) 2^{1} x 9^{2}

(b) 2^{2} x 9^{3}

(c) 2^{3} x 9^{4}

(d) Zero

**Question: **8^{1/3} x 16^{1/4} x 2^{–2} = ?

(a) 1

(b) 2

(c) 3

(d) 4

**Question: **(2^{2})^{3} x (2^{3})^{2} / 2^{6}?

(a) 14

(b) 32

(c) 43

(d) 64

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

**Question: **(4)^{0.5} x (0.5)^{4} is equal to

(a) 1

(b) 4

(c) 1/8

(d) 1/32

**Question: **The units digit in (2469)^{153} will be

(a) 1

(b) 3

(c) 7

(d) 9

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

**Question: **If m and n are whole numbers such that m^{n} = 121, find the value of (m – 1)^{n+1
}(a) 550

(b) 200

(c) 1000

(d) 400