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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 368 · 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 × 10⁻³ as a decimal. =
  2. 2.What is the value of 2⁵? =
  3. 3.What is the value of 6⁻³ (as a fraction)? =
  4. 4.Write 3.5 × 10⁻³ as a decimal. =
  5. 5.3.6 × 10⁴ =
  6. 6.7 × 10⁴ =
  7. 7.Write 9¹⁰ ÷ 9² as a single power 9ⁿ. What is n?
  8. 8.Write 6.9 × 10⁻² as a decimal. =
  9. 9.Write 9.6 × 10⁻⁴ as a decimal. =
  10. 10.Write 8³ × 8³ as a single power 8ⁿ. What is n?
  11. 11.Write 8 × 10⁻³ as a decimal. =
  12. 12.What is the value of 2¹⁰? =
  13. 13.What is the value of 8⁻² (as a fraction)? =
  14. 14.Write 7.1 × 10⁻¹ as a decimal. =
  15. 15.Write (9⁶)² as a single power 9ⁿ. What is n?
  16. 16.What is the value of 3⁻³ (as a fraction)? =
  17. 17.What is the value of 2⁶ × 2⁻²? =
  18. 18.What is the value of 3¹ × 3⁻³? =
  19. 19.What is the value of 10⁴ × 10⁻⁵? =
  20. 20.6.2 × 10³ =
  21. 21.What is the value of 3² × 3⁻¹? =
  22. 22.What is the value of 7⁵? =
  23. 23.What is the value of 3⁶ × 3⁻²? =
  24. 24.6.4 × 10⁵ =
  25. 25.What is the value of 3⁻⁴ (as a fraction)? =
  26. 26.Write (4⁸)² as a single power 4ⁿ. What is n?
  27. 27.What is the value of (5/6)⁻¹? =
  28. 28.What is the value of 5¹ × 5⁻⁶? =
  29. 29.Write 49,000 in standard form as 4.9 × 10ⁿ. What is n?
  30. 30.What is the value of 5⁵? =
  31. 31.What is the value of (3/5)⁻¹? =
  32. 32.Write 2⁶ × 2³ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 4⁸? =
  34. 34.Write 9.8 × 10⁻⁴ as a decimal. =
  35. 35.Write (6⁵)⁴ as a single power 6ⁿ. What is n?
  36. 36.1.3 × 10⁶ =
  37. 37.What is the value of (1/5)⁻¹? =
  38. 38.What is the value of 10¹ × 10⁻²? =
  39. 39.1.6 × 10² =
  40. 40.What is the value of 3³ × 3⁻²? =

Answer key

  1. 0.0068
  2. 32
  3. 1/216
  4. 0.0035
  5. 36000
  6. 70000
  7. 8
  8. 0.069
  9. 0.00096
  10. 6
  11. 0.008
  12. 1024
  13. 1/64
  14. 0.71
  15. 12
  16. 1/27
  17. 16
  18. 1/9
  19. 1/10
  20. 6200
  21. 3
  22. 16807
  23. 81
  24. 640000
  25. 1/81
  26. 16
  27. 6/5
  28. 1/3125
  29. 4
  30. 3125
  31. 5/3
  32. 9
  33. 65536
  34. 0.00098
  35. 20
  36. 1300000
  37. 5
  38. 1/10
  39. 160
  40. 3

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