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











8th Grade Math Practice

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