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Class 8 - Exponents & Powers Worksheet 4

1. A beverage factory has annual sales of 4 billion 950 million litre of beverage. Express this number in the standard form.

a) 4.95 × 106                     b) 4.95 × 10-6
c) 49.5 × 106                     d) None of these

2. 25.69 = 2 × 10 + 5 × 1 + 5 × 10 + 8 × 100. Mark True/False.

a) True                     b) False

3. The standard form for 0.000045 is 4.5 × 10-5. Mark True/False.

a) True                     b) False

4. The cell of amoeba double in every 30 mins. A zoologist begins with a single cell. How many cells will be in 12hr?

a) 212                     b) 22
c) 224                     d) 216

5. Evaluate 2-1 [(43)3 + (34)-2] ÷ 143 and write the result in exponential form with negative exponent.

a) (32)-2                    b) 2-2
c) (43)-2                    d) 3-1

6. Simplify [(-52)-2]3 × (15)-4 × 2-1 × 18, we get _____.

a) 1                     b) (25)-10
c) 0                     d) (52)-10

7. (-45)7 × (-45)8 ÷ (-54)-5 = _____.

a) (-54)10               b) 207
c) 5-10                    d) (-45)10

8. If (1213)4 × (1312)-8 = (1213)2x, find the value of 'x'.

a) 6                    b) 12
c) 5                    d) 2

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

a) 22                     b) 2-10
c) 2-6                    d) 2

10. Simplify (zazb)a+b × (zbzc)b+c × (zcza)c-a.

a) 0                     b) -1
c) 1                     d) None of these

11. Simplify
Exponents and Powers Worksheet
a) 32 × x3             b) 56x6
c) 0                       d) 56 × x6

12. Find 'x' if (-2549)-4 × (-2549)5 = {(-2549)4}x × (-2549)-2

a) 1                       b) 0
c) 17                     d) None of these

13. Express 256-2 as a power with base 16.

a) 162                   b) 160
c) 16-4                  d) 16-2

14. Simplify and write in exponential form of 5-5 × 52 ÷ 5-6 + (22 × 5)2 + (25)-1 + 2-1 + (17)-1.

a) 54                     b) 24 + 10
c) 54 + 24 + 10     d) 1

15. By what number should {(-73)3}-3be multiplied to get (-37)5.

a) (-73)4                  b) 21
c) 49                       d) (-37)4

16. Express -129628561 in exponential form.
a) 6133                    b) (-613)4
c) 4115                    d) None of these

17. Express (35 ÷ 38) × 3-7 as a power of rational number with negative exponent.

a) 3-5                               b) 3-6
c) 3-10                              d) 3-9

18. For a fixed base i.e. 10, if the exponent decreases by 1, the number becomes _____.

a) One-tenth of the previous number
b) Ten times of the previous number
c) Two hundredth of the previous number
d) Two tenth of the previous number

19. Express the product of 2.1 × 106 and 3.1 × 10-1 in standard form.

a) 6.51 × 106                    b) 0.651 × 106
c) 65.1 × 106                    d) None of these

20. Express 2.5×1061.5×10-4 in standard form.

a) 1.62 × 109                   b) 0.162 × 109
c) 16.2 × 109                   d) None of these

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

Exponents And Powers Worksheet-4Download 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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