# 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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