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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 811 · 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 3⁻⁶ (as a fraction)? =
  2. 2.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  3. 3.8.2 × 10⁷ =
  4. 4.What is the value of 2² × 2⁻²? =
  5. 5.Write 6.8 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 5³ × 5⁻²? =
  7. 7.What is the value of (1/3)⁻²? =
  8. 8.What is the value of 5⁶ × 5⁻⁶? =
  9. 9.Write 8.8 × 10⁻² as a decimal. =
  10. 10.Write 6¹² ÷ 6³ as a single power 6ⁿ. What is n?
  11. 11.What is the value of (3/7)⁻¹? =
  12. 12.What is the value of (2/3)⁻²? =
  13. 13.What is the value of 9²? =
  14. 14.Write 4.8 × 10⁻² as a decimal. =
  15. 15.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 2¹⁶? =
  17. 17.What is the value of 6⁻¹ (as a fraction)? =
  18. 18.What is the value of 3⁻⁵ (as a fraction)? =
  19. 19.What is the value of (5/8)⁻¹? =
  20. 20.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  21. 21.What is the value of 2¹⁵? =
  22. 22.What is the value of 8²? =
  23. 23.What is the value of 3⁸? =
  24. 24.Write 3³ × 3⁶ as a single power 3ⁿ. What is n?
  25. 25.3.4 × 10⁵ =
  26. 26.7.7 × 10³ =
  27. 27.What is the value of 4³? =
  28. 28.What is the value of 4⁻³ (as a fraction)? =
  29. 29.What is the value of 4²? =
  30. 30.5.6 × 10⁶ =
  31. 31.Write 5⁴ × 5² as a single power 5ⁿ. What is n?
  32. 32.Write (4²)² as a single power 4ⁿ. What is n?
  33. 33.What is the value of 2⁵? =
  34. 34.8.3 × 10⁶ =
  35. 35.Write 9⁴ × 9⁵ as a single power 9ⁿ. What is n?
  36. 36.Write 5⁹ ÷ 5⁷ as a single power 5ⁿ. What is n?
  37. 37.9.9 × 10² =
  38. 38.What is the value of 5⁻² (as a fraction)? =
  39. 39.9.3 × 10⁴ =
  40. 40.What is the value of 3⁵? =

Answer key

  1. 1/729
  2. 6
  3. 82000000
  4. 1
  5. 0.68
  6. 5
  7. 9
  8. 1
  9. 0.088
  10. 9
  11. 7/3
  12. 9/4
  13. 81
  14. 0.048
  15. 9
  16. 65536
  17. 1/6
  18. 1/243
  19. 8/5
  20. 2
  21. 32768
  22. 64
  23. 6561
  24. 9
  25. 340000
  26. 7700
  27. 64
  28. 1/64
  29. 16
  30. 5600000
  31. 6
  32. 4
  33. 32
  34. 8300000
  35. 9
  36. 2
  37. 990
  38. 1/25
  39. 93000
  40. 243

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