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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 563 · 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.What is the value of 6⁵? =
  2. 2.Write 5.5 × 10⁻³ as a decimal. =
  3. 3.1.2 × 10² =
  4. 4.Write 6⁸ × 6⁵ as a single power 6ⁿ. What is n?
  5. 5.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 10⁻³ (as a fraction)? =
  7. 7.Write 7.6 × 10⁻³ as a decimal. =
  8. 8.Write 3.1 × 10⁻⁴ as a decimal. =
  9. 9.Write 7¹⁴ ÷ 7⁷ as a single power 7ⁿ. What is n?
  10. 10.Write 3.7 × 10⁻³ as a decimal. =
  11. 11.5 × 10³ =
  12. 12.What is the value of 2⁴ × 2⁻⁴? =
  13. 13.2.8 × 10⁶ =
  14. 14.What is the value of 3⁻² (as a fraction)? =
  15. 15.Write 4¹¹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 3⁵? =
  17. 17.Write 4⁸ × 4⁷ as a single power 4ⁿ. What is n?
  18. 18.Write 7,60,000 in standard form as 7.6 × 10ⁿ. What is n?
  19. 19.What is the value of 6⁻¹ (as a fraction)? =
  20. 20.What is the value of 2⁶? =
  21. 21.What is the value of 2⁴ × 2⁻³? =
  22. 22.Write 4.5 × 10⁻⁴ as a decimal. =
  23. 23.Write 6.5 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 4⁻¹ (as a fraction)? =
  25. 25.7.4 × 10⁷ =
  26. 26.What is the value of 2³? =
  27. 27.What is the value of (3/8)⁻²? =
  28. 28.4 × 10⁴ =
  29. 29.Write 7.4 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 5⁴? =
  31. 31.Write 8¹⁰ ÷ 8⁴ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 8²? =
  33. 33.Write 5¹⁶ ÷ 5⁹ as a single power 5ⁿ. What is n?
  34. 34.What is the value of 3⁻⁵ (as a fraction)? =
  35. 35.What is the value of 5⁴ × 5⁻³? =
  36. 36.Write 6.1 × 10⁻³ as a decimal. =
  37. 37.Write (4⁵)⁷ as a single power 4ⁿ. What is n?
  38. 38.Write 9.9 × 10⁻² as a decimal. =
  39. 39.7.7 × 10⁶ =
  40. 40.What is the value of 5³ × 5⁻⁵? =

Answer key

  1. 7776
  2. 0.0055
  3. 120
  4. 13
  5. 7
  6. 1/1000
  7. 0.0076
  8. 0.00031
  9. 7
  10. 0.0037
  11. 5000
  12. 1
  13. 2800000
  14. 1/9
  15. 4
  16. 243
  17. 15
  18. 5
  19. 1/6
  20. 64
  21. 2
  22. 0.00045
  23. 0.00065
  24. 1/4
  25. 74000000
  26. 8
  27. 64/9
  28. 40000
  29. 0.00074
  30. 625
  31. 6
  32. 64
  33. 7
  34. 1/243
  35. 5
  36. 0.0061
  37. 35
  38. 0.099
  39. 7700000
  40. 1/25

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