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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