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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 760 · 40 sums
TalentJR

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 3,200 in standard form as 3.2 × 10ⁿ. What is n?
  2. 2.Write 1.1 × 10⁻² as a decimal. =
  3. 3.Write 8¹⁴ ÷ 8⁸ as a single power 8ⁿ. What is n?
  4. 4.What is the value of 3⁷? =
  5. 5.What is the value of 3⁴? =
  6. 6.What is the value of 3⁹? =
  7. 7.What is the value of 3⁻¹ (as a fraction)? =
  8. 8.What is the value of 3⁻³ (as a fraction)? =
  9. 9.Write 5⁹ ÷ 5⁴ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 3⁸? =
  11. 11.9.7 × 10⁴ =
  12. 12.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
  13. 13.Write 8,50,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  14. 14.5.1 × 10⁴ =
  15. 15.What is the value of 6⁻² (as a fraction)? =
  16. 16.Write 6 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 3¹ × 3⁻¹? =
  18. 18.Write 3⁶ × 3⁹ as a single power 3ⁿ. What is n?
  19. 19.Write 8.9 × 10⁻¹ as a decimal. =
  20. 20.What is the value of (1/4)⁻²? =
  21. 21.What is the value of 2¹¹? =
  22. 22.What is the value of 2¹ × 2⁻⁵? =
  23. 23.What is the value of 5¹ × 5⁻⁵? =
  24. 24.9.8 × 10⁵ =
  25. 25.Write 5.1 × 10⁻⁴ as a decimal. =
  26. 26.Write 1,50,000 in standard form as 1.5 × 10ⁿ. What is n?
  27. 27.What is the value of 6⁵? =
  28. 28.Write 3³ × 3² as a single power 3ⁿ. What is n?
  29. 29.What is the value of 3² × 3⁻⁶? =
  30. 30.1.1 × 10⁴ =
  31. 31.5.2 × 10⁷ =
  32. 32.Write 4¹¹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  33. 33.What is the value of 7⁴? =
  34. 34.What is the value of 10²? =
  35. 35.What is the value of 5¹ × 5⁻¹? =
  36. 36.Write (3²)⁵ as a single power 3ⁿ. What is n?
  37. 37.What is the value of 3² × 3⁻¹? =
  38. 38.What is the value of 6⁴? =
  39. 39.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  40. 40.What is the value of 8⁻³ (as a fraction)? =

Answer key

  1. 3
  2. 0.011
  3. 6
  4. 2187
  5. 81
  6. 19683
  7. 1/3
  8. 1/27
  9. 5
  10. 6561
  11. 97000
  12. 2
  13. 7
  14. 51000
  15. 1/36
  16. 0.0006
  17. 1
  18. 15
  19. 0.89
  20. 16
  21. 2048
  22. 1/16
  23. 1/625
  24. 980000
  25. 0.00051
  26. 5
  27. 7776
  28. 5
  29. 1/81
  30. 11000
  31. 52000000
  32. 6
  33. 2401
  34. 100
  35. 1
  36. 10
  37. 3
  38. 1296
  39. 7
  40. 1/512

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