# Worksheet on Exponents

In worksheet on exponents we will practice different types of questions to write large numbers in shorter form, so that it becomes very convenient to read, understand and compare, we use exponents and their laws.

1. Evaluate:

(i) 4-3

(ii) (1/2)-5

(iii) (4/3)-3

(iv) (-3)-4

(v) (-2/3)-5

2. Evaluate:

(i) (5/3)2 × (5/3)2

(ii) (5/6)6 × (5/6)-4

(iii) (2/3)-3 × (2/3)-2

(iv) (9/8)-3 × (9/8)2

3. Evaluate:

(i) (5/9)-2 × (3/5)-3 × (3/5)0

(ii) (-3/5)-4 × ( -2/5)2

(iii) (-2/3)-3 × (-2/3)-2

4. Evaluate:

(i) {(-2/3)2}-2

(ii) [{(-1/3)2}-2]-1

(iii) {(3/2)-2}2

5. Evaluate: {(1/3)-3 - (1/2)-3} ÷ (1/4)-3

6. Evaluate: {(4/3)-1 – (1/4)-1}-1

7. Evaluate: [5-1 × 3-1]-1 ÷ 6-1]

8. Find the value of x for which (5/3)-4 × (5/3) -5 = (5/3)3x

9. Find the value of x for which (4/9)4 × (4/9)-7 = (4/9)2x - 1

10. By what number should (-6)-1 be multiplied so that the product becomes 9-1?

11. By what number should (-2/3)-3 be divided so that the quotient may be (4/27)-2?

12. If 52x + 1 ÷ 25 = 125, find the value of x.

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

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