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.



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