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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 859 · 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 4³? =
  2. 2.What is the value of 2¹ × 2⁻⁵? =
  3. 3.What is the value of 2⁻¹ (as a fraction)? =
  4. 4.Write 5.9 × 10⁻² as a decimal. =
  5. 5.2.6 × 10³ =
  6. 6.What is the value of 3³ × 3⁻²? =
  7. 7.Write 9⁶ × 9⁶ as a single power 9ⁿ. What is n?
  8. 8.What is the value of 3⁴ × 3⁻²? =
  9. 9.Write 7.4 × 10⁻⁴ as a decimal. =
  10. 10.8.4 × 10⁶ =
  11. 11.Write (7³)³ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 9⁵? =
  13. 13.What is the value of 10⁻² (as a fraction)? =
  14. 14.What is the value of (3/5)⁻¹? =
  15. 15.Write 8¹⁷ ÷ 8⁸ as a single power 8ⁿ. What is n?
  16. 16.What is the value of 7²? =
  17. 17.Write 6.2 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 3⁴ × 3⁻³? =
  19. 19.Write 4.5 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 2² × 2⁻⁴? =
  21. 21.What is the value of 9⁻³ (as a fraction)? =
  22. 22.6.4 × 10² =
  23. 23.What is the value of 2¹²? =
  24. 24.What is the value of 10² × 10⁻⁶? =
  25. 25.What is the value of 6⁴? =
  26. 26.What is the value of 3⁴ × 3⁻⁵? =
  27. 27.What is the value of 5⁻² (as a fraction)? =
  28. 28.What is the value of 2⁹? =
  29. 29.2.5 × 10² =
  30. 30.What is the value of 2¹¹? =
  31. 31.What is the value of 10⁴ × 10⁻³? =
  32. 32.Write 7 × 10⁻² as a decimal. =
  33. 33.Write 6.9 × 10⁻² as a decimal. =
  34. 34.What is the value of 2³ × 2⁻²? =
  35. 35.Write 2¹⁰ ÷ 2⁶ as a single power 2ⁿ. What is n?
  36. 36.Write 7.9 × 10⁻² as a decimal. =
  37. 37.What is the value of 3² × 3⁻²? =
  38. 38.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  39. 39.What is the value of 3⁴? =
  40. 40.What is the value of (1/8)⁻¹? =

Answer key

  1. 64
  2. 1/16
  3. 1/2
  4. 0.059
  5. 2600
  6. 3
  7. 12
  8. 9
  9. 0.00074
  10. 8400000
  11. 9
  12. 59049
  13. 1/100
  14. 5/3
  15. 9
  16. 49
  17. 0.62
  18. 3
  19. 0.00045
  20. 1/4
  21. 1/729
  22. 640
  23. 4096
  24. 1/10000
  25. 1296
  26. 1/3
  27. 1/25
  28. 512
  29. 250
  30. 2048
  31. 10
  32. 0.07
  33. 0.069
  34. 2
  35. 4
  36. 0.079
  37. 1
  38. 5
  39. 81
  40. 8

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