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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 885 · 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 6.8 × 10⁻¹ as a decimal. =
  2. 2.What is the value of (2/5)⁻¹? =
  3. 3.What is the value of 6⁴? =
  4. 4.What is the value of 7⁻³ (as a fraction)? =
  5. 5.Write 6 × 10⁻¹ as a decimal. =
  6. 6.Write 1.5 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 3⁶ × 3⁻³? =
  8. 8.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  9. 9.What is the value of 10²? =
  10. 10.5.7 × 10² =
  11. 11.What is the value of 3⁴ × 3⁻¹? =
  12. 12.What is the value of 2¹ × 2⁻⁵? =
  13. 13.What is the value of 2¹¹? =
  14. 14.What is the value of 2⁷? =
  15. 15.What is the value of 10² × 10⁻⁵? =
  16. 16.What is the value of (3/4)⁻¹? =
  17. 17.What is the value of 2⁻¹ (as a fraction)? =
  18. 18.What is the value of 10⁵ × 10⁻⁴? =
  19. 19.Write 4.1 × 10⁻⁴ as a decimal. =
  20. 20.Write 3.2 × 10⁻² as a decimal. =
  21. 21.Write 6.6 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of 2⁻² (as a fraction)? =
  23. 23.What is the value of (1/8)⁻²? =
  24. 24.What is the value of (1/7)⁻¹? =
  25. 25.Write (6⁹)⁸ as a single power 6ⁿ. What is n?
  26. 26.6.9 × 10⁶ =
  27. 27.What is the value of 10⁶ × 10⁻¹? =
  28. 28.1.3 × 10⁷ =
  29. 29.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  30. 30.Write 5¹⁶ ÷ 5⁹ as a single power 5ⁿ. What is n?
  31. 31.1.5 × 10² =
  32. 32.What is the value of 9³? =
  33. 33.Write 6⁶ × 6³ as a single power 6ⁿ. What is n?
  34. 34.Write 4.2 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 2⁻⁴ (as a fraction)? =
  36. 36.Write 5.9 × 10⁻³ as a decimal. =
  37. 37.What is the value of (5/7)⁻¹? =
  38. 38.Write 1.8 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 4²? =
  40. 40.What is the value of (5/7)⁻²? =

Answer key

  1. 0.68
  2. 5/2
  3. 1296
  4. 1/343
  5. 0.6
  6. 0.15
  7. 27
  8. 3
  9. 100
  10. 570
  11. 27
  12. 1/16
  13. 2048
  14. 128
  15. 1/1000
  16. 4/3
  17. 1/2
  18. 10
  19. 0.00041
  20. 0.032
  21. 0.00066
  22. 1/4
  23. 64
  24. 7
  25. 72
  26. 6900000
  27. 100000
  28. 13000000
  29. 3
  30. 7
  31. 150
  32. 729
  33. 9
  34. 0.00042
  35. 1/16
  36. 0.0059
  37. 7/5
  38. 0.18
  39. 16
  40. 49/25

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