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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 560 · 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 9³? =
  2. 2.Write 5.4 × 10⁻³ as a decimal. =
  3. 3.Write 21,000 in standard form as 2.1 × 10ⁿ. What is n?
  4. 4.Write 99,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  5. 5.What is the value of 3³ × 3⁻³? =
  6. 6.What is the value of 4³? =
  7. 7.Write 3.1 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 8²? =
  9. 9.What is the value of 2²? =
  10. 10.What is the value of 3⁴? =
  11. 11.What is the value of (2/7)⁻¹? =
  12. 12.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 5⁻⁴ (as a fraction)? =
  14. 14.Write 5.9 × 10⁻² as a decimal. =
  15. 15.What is the value of 2⁻⁵ (as a fraction)? =
  16. 16.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  17. 17.5.4 × 10³ =
  18. 18.Write 4⁴ × 4⁷ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 5¹ × 5⁻⁵? =
  20. 20.What is the value of 3³ × 3⁻¹? =
  21. 21.Write 9 × 10⁻⁴ as a decimal. =
  22. 22.Write (4⁸)⁵ as a single power 4ⁿ. What is n?
  23. 23.Write 9¹¹ ÷ 9² as a single power 9ⁿ. What is n?
  24. 24.8.4 × 10³ =
  25. 25.Write 4¹⁸ ÷ 4⁹ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 3⁸? =
  27. 27.What is the value of 7⁵? =
  28. 28.5.1 × 10⁵ =
  29. 29.1.4 × 10² =
  30. 30.What is the value of 2¹⁰? =
  31. 31.5.4 × 10² =
  32. 32.Write 7.6 × 10⁻¹ as a decimal. =
  33. 33.Write 8⁸ × 8² as a single power 8ⁿ. What is n?
  34. 34.Write 7.5 × 10⁻³ as a decimal. =
  35. 35.What is the value of 9⁵? =
  36. 36.What is the value of 10² × 10⁻⁴? =
  37. 37.What is the value of 4⁻² (as a fraction)? =
  38. 38.What is the value of 3²? =
  39. 39.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  40. 40.3.2 × 10⁴ =

Answer key

  1. 729
  2. 0.0054
  3. 4
  4. 6
  5. 1
  6. 64
  7. 0.31
  8. 64
  9. 4
  10. 81
  11. 7/2
  12. 3
  13. 1/625
  14. 0.059
  15. 1/32
  16. 10
  17. 5400
  18. 11
  19. 1/625
  20. 9
  21. 0.0009
  22. 40
  23. 9
  24. 8400
  25. 9
  26. 6561
  27. 16807
  28. 510000
  29. 140
  30. 1024
  31. 540
  32. 0.76
  33. 10
  34. 0.0075
  35. 59049
  36. 1/100
  37. 1/16
  38. 9
  39. 8
  40. 32000

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