# Practice Test on Exponents

In practice test on exponents we will try to answer the objective questions and tick the correct answer.

### Tick (✔) the correct answer in each of the following:

1. The value of (2/5)-3 is

(a) -8/125

(b) 25/4

(c) 125/8

(d) -2/5

2. The value of (-3)-4 is

(a) 12

(b) 81

(c) -1/12

(d) 1/81

3. The value of {-3/8}-3 × (4/9)-2 is

(a) -96

(b) – 8192/2187

(c) 1/96

(d) – 1/192

4. The value of {(4/-3)-3}2 is

(a) -3/4

(b) 3/4

(c) 729/4096

(d) 1024/243

5. The value of (3-1 + 4-1)-1 ÷ 5-1 is

(a) 7/10

(b) 12/35

(c) 7/5

(d) 7/15

6. Simplify: (1/2)-2 + (2/3)-2 + (3/4)-2

(a) 289/36

(b) 241/36

(c) 27/4

(d) 313/72

7. The value of x for which (7/12)-4 × (7/12)3x = (7/12)5, is

(a) -1

(b) 1

(c) 2

(d) 3

8. If (23x - 1 + 10) ÷ 7 = 6, then x is equal to

(a) -2

(b) 0

(c) 1

(d) 2

9. [{(-1/2)2}-2]-1 = ?

(a) 1/16

(b) 16

(c) -1/16

(d) -16

10. {(1/3)-3 - (1/2)-3} ÷ (1/4)-3 = ?

(a) 19/64

(b) 27/16

(c) 64/19

(d) 16/25

Things to Remember

Let a/b be any rational number, and m and n be any Integers. Then, we have:

1. (a/b)m × (a/b)n = (a/b)m + n

2. (a/b)m ÷ (a/b)n = (a/b)m - n

3. { (a/b) m}n = (a/b)mn

4. (a/b × c/d)n = (a/b)n × (c/d)n

5. {(a/b)/ (c/d)}n = (a/b)n/(c/d)n

6. (a/b)-n= (b/a)n

7. (a/b)0 = 1

Exponents

Exponents

Laws of Exponents

Rational Exponent

Integral Exponents of a Rational Numbers

Solved Examples on Exponents

Practice Test on Exponents

Exponents - Worksheets

Worksheet on Exponents

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