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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 432 · 40 sums
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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.

NameDateTime takenScore ___ / 40
  1. 1.Write 8¹⁰ ÷ 8⁸ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 2¹ × 2⁻⁴? =
  3. 3.Write 1.9 × 10⁻² as a decimal. =
  4. 4.What is the value of (1/9)⁻¹? =
  5. 5.Write 4³ × 4⁷ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 7³? =
  7. 7.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  8. 8.What is the value of 3³ × 3⁻⁶? =
  9. 9.What is the value of 3¹ × 3⁻³? =
  10. 10.What is the value of 2⁴ × 2⁻⁵? =
  11. 11.9.9 × 10⁶ =
  12. 12.Write 2.4 × 10⁻³ as a decimal. =
  13. 13.Write 2¹¹ ÷ 2⁴ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 3⁷? =
  15. 15.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
  16. 16.What is the value of 4⁻² (as a fraction)? =
  17. 17.Write 8,80,00,000 in standard form as 8.8 × 10ⁿ. What is n?
  18. 18.Write 3 × 10⁻¹ as a decimal. =
  19. 19.3.6 × 10³ =
  20. 20.Write (2⁹)² as a single power 2ⁿ. What is n?
  21. 21.What is the value of 5⁵ × 5⁻¹? =
  22. 22.What is the value of 10³ × 10⁻²? =
  23. 23.6.6 × 10⁵ =
  24. 24.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  25. 25.Write 8.8 × 10⁻¹ as a decimal. =
  26. 26.Write 89,000 in standard form as 8.9 × 10ⁿ. What is n?
  27. 27.What is the value of 3³? =
  28. 28.What is the value of 2² × 2⁻¹? =
  29. 29.What is the value of 2⁻⁴ (as a fraction)? =
  30. 30.6.8 × 10² =
  31. 31.What is the value of 2⁶ × 2⁻⁴? =
  32. 32.4.3 × 10² =
  33. 33.Write 2⁶ × 2³ as a single power 2ⁿ. What is n?
  34. 34.Write 7.7 × 10⁻¹ as a decimal. =
  35. 35.Write 3⁹ × 3⁸ as a single power 3ⁿ. What is n?
  36. 36.What is the value of 5⁻¹ (as a fraction)? =
  37. 37.Write 9.9 × 10⁻¹ as a decimal. =
  38. 38.Write 8¹¹ ÷ 8⁸ as a single power 8ⁿ. What is n?
  39. 39.Write 3² × 3⁹ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 2³? =

Answer key

  1. 2
  2. 1/8
  3. 0.019
  4. 9
  5. 10
  6. 343
  7. 6
  8. 1/27
  9. 1/9
  10. 1/2
  11. 9900000
  12. 0.0024
  13. 7
  14. 2187
  15. 3
  16. 1/16
  17. 7
  18. 0.3
  19. 3600
  20. 18
  21. 625
  22. 10
  23. 660000
  24. 5
  25. 0.88
  26. 4
  27. 27
  28. 2
  29. 1/16
  30. 680
  31. 4
  32. 430
  33. 9
  34. 0.77
  35. 17
  36. 1/5
  37. 0.99
  38. 3
  39. 11
  40. 8

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