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Class 8 - Exponents & Powers Worksheet 2

1. Express 9⁄81 and -9⁄81 as powers of a rational number.

a) (3⁄9)2, (-3⁄9)2                     b) (-3⁄9)2, (3⁄9)2
c) (9⁄3)2, (-9⁄3)2                     d) None of these

2. Express {(-5⁄2)-2}-3 as a power of a rational number with negative exponent.

a) (-5⁄2)2                     b) (2⁄5)-6
c) (2⁄5)6                      d) (-2⁄5)-6

3. Find the product of the cube of (-3) and square of (+5).

a) -675                     b) -625

c) -235                     d) 675

4. Express 3-2 × 3-3 as a power of 3 positive exponent.

a) 1⁄36                     b) 1⁄3-6

c) 1⁄-35                     b) 1⁄35

5. Solve (1⁄4)-2 ÷ (1⁄4)-3.

a) 4                       b) 4-6
c) 1⁄4                     d) (1⁄4)-5

6. Simplify (64×p-3)⁄(8-3×10×p-5) here p ≠ 0.

a) (85⁄10)p2                     b) (8⁄10)p2
c) (85⁄10)p-8                    d) None of these

7. Find the value of 'n', so that (5⁄7)-2 × (5⁄7)-14 = (5⁄7)8n

a) -2                     b) -14
c) 10                    d) 3⁄2

8. Find the value of n-3 if n = (1000)1-4 ÷ (1000)0.

a) 1000-3                     b) 106
c) 10009                      d) 10-9

9. By what number (-20)-1 be divided so that quotient may be equal to (-20)-1.

a) -20                     b) 1
c) 0                        d) (-20)-2

10. Express 32-2 as a power with base 2.

a) 2-10                   b) 232
c) 2-8                     d) 210

11. Find the value m, if 52m-1 ÷ 25 = 125.

a) 5                        b) 25
c) 29                      d) 3

12. Find the multiplicative inverse of (-6)-2 ÷ (90)-1.

a) 3⁄5                       b) -5⁄3
c) 5⁄3                       d) None of these

13. The value of (-4)-2 is 1⁄-16. Mark True /False.

a) False                     b) True

14. For negative integer x and y, then px × py = px+y (p≠0). Mark True/False.

a) False                     b) True

15. 20 × 50 = 100. Mark True/False.

a) True                      b) False

16. The value of 57 − 27 is 17. Mark True/False.

a) False                      b) True

17. Multiplicative inverse of (-3)5 is 1⁄-243. Mark True /False.

a) True                    b) False

18. The value of [1-3 + 2-2 + 3-1] × 62 is ____.

a) 64                 b) 6-4
c) 57                 d) None of these

19. By what number should (-2⁄3)-3 be divided so that the quotient may be (27⁄2)-2.

a) 27⁄39                    b) 39⁄27
c) -1⁄9                      d) -2⁄9

20. A new-born elephant weight is 15 kg. How many kilograms might a five-year-old elephant weight if its weight increases by the power of 2 in 5year?

a) 225 Kg                 b) 150 Kg
c) 30 Kg                   d) 152 Kg

If you want to download the above worksheet, please click below link.

Exponents And Powers Worksheet-2Download the pdf

Exponents & Powers Worksheet - 1

Exponents & Powers Worksheet - 2

Exponents & Powers Worksheet - 3

Exponents & Powers Worksheet - 4

Answer Sheet

Exponents-And-Powers-AnswerDownload the pdf











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