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 (2^{3x  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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