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
Integral Exponents of a Rational Numbers
● Exponents - Worksheets
8th Grade Math Practice
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