Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 887 · 40 sums

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

1. 1.Write 6.9 × 10⁻⁴ as a decimal. =
2. 2.Write 6.6 × 10⁻¹ as a decimal. =
3. 3.Write 9.8 × 10⁻¹ as a decimal. =
4. 4.Write 4⁷ × 4⁵ as a single power 4ⁿ. What is n?
5. 5.What is the value of 5¹ × 5⁻⁶? =
6. 6.What is the value of 10³ × 10⁻²? =
7. 7.Write (4²)⁸ as a single power 4ⁿ. What is n?
8. 8.Write 1.9 × 10⁻¹ as a decimal. =
9. 9.5.1 × 10³ =
10. 10.Write 4¹³ ÷ 4⁴ as a single power 4ⁿ. What is n?
11. 11.Write (3⁹)³ as a single power 3ⁿ. What is n?
12. 12.What is the value of 2⁻² (as a fraction)? =
13. 13.What is the value of 5⁵? =
14. 14.What is the value of 3¹⁰? =
15. 15.Write 5.4 × 10⁻² as a decimal. =
16. 16.9.7 × 10⁷ =
17. 17.Write 6,300 in standard form as 6.3 × 10ⁿ. What is n?
18. 18.What is the value of 2¹³? =
19. 19.What is the value of 8²? =
20. 20.Write 5.6 × 10⁻⁴ as a decimal. =
21. 21.Write 5.4 × 10⁻³ as a decimal. =
22. 22.Write (2⁹)³ as a single power 2ⁿ. What is n?
23. 23.Write 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
24. 24.Write 8⁴ × 8³ as a single power 8ⁿ. What is n?
25. 25.Write 4.3 × 10⁻² as a decimal. =
26. 26.What is the value of 9⁴? =
27. 27.What is the value of 3⁴? =
28. 28.What is the value of (4/9)⁻¹? =
29. 29.What is the value of 2¹⁵? =
30. 30.What is the value of 5⁶ × 5⁻³? =
31. 31.What is the value of 2³ × 2⁻⁵? =
32. 32.What is the value of (4/5)⁻¹? =
33. 33.Write 1.7 × 10⁻³ as a decimal. =
34. 34.Write 2.6 × 10⁻¹ as a decimal. =
35. 35.Write (9⁷)⁷ as a single power 9ⁿ. What is n?
36. 36.What is the value of 2⁶? =
37. 37.What is the value of 2¹⁶? =
38. 38.Write 8.7 × 10⁻² as a decimal. =
39. 39.What is the value of 3² × 3⁻⁵? =
40. 40.What is the value of (1/6)⁻²? =

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