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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 84 · 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 5³? =
  2. 2.Write (8²)⁸ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 3²? =
  4. 4.Write 1.6 × 10⁻³ as a decimal. =
  5. 5.Write 1.7 × 10⁻² as a decimal. =
  6. 6.What is the value of 4⁷? =
  7. 7.Write 8.9 × 10⁻¹ as a decimal. =
  8. 8.4.1 × 10⁴ =
  9. 9.Write 5.2 × 10⁻¹ as a decimal. =
  10. 10.7.5 × 10⁶ =
  11. 11.Write (2⁹)⁷ as a single power 2ⁿ. What is n?
  12. 12.Write (4⁵)³ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 2⁹? =
  14. 14.Write 1.3 × 10⁻⁴ as a decimal. =
  15. 15.Write 6.4 × 10⁻¹ as a decimal. =
  16. 16.Write 67,00,000 in standard form as 6.7 × 10ⁿ. What is n?
  17. 17.What is the value of 2⁻⁶ (as a fraction)? =
  18. 18.2 × 10⁷ =
  19. 19.What is the value of 4⁵? =
  20. 20.Write 6.1 × 10⁻³ as a decimal. =
  21. 21.8.9 × 10⁶ =
  22. 22.What is the value of 3⁸? =
  23. 23.What is the value of 3¹ × 3⁻⁶? =
  24. 24.3 × 10⁵ =
  25. 25.What is the value of 5⁻¹ (as a fraction)? =
  26. 26.What is the value of (3/5)⁻¹? =
  27. 27.What is the value of 9⁴? =
  28. 28.What is the value of (1/3)⁻²? =
  29. 29.6.8 × 10² =
  30. 30.What is the value of 5⁵ × 5⁻³? =
  31. 31.Write 8.4 × 10⁻² as a decimal. =
  32. 32.What is the value of 4⁴? =
  33. 33.What is the value of 6⁻³ (as a fraction)? =
  34. 34.Write 3.6 × 10⁻¹ as a decimal. =
  35. 35.Write 8⁶ × 8³ as a single power 8ⁿ. What is n?
  36. 36.What is the value of 4⁻⁴ (as a fraction)? =
  37. 37.What is the value of 6⁻² (as a fraction)? =
  38. 38.What is the value of (1/4)⁻²? =
  39. 39.Write 4,50,00,000 in standard form as 4.5 × 10ⁿ. What is n?
  40. 40.What is the value of (2/7)⁻²? =

Answer key

  1. 125
  2. 16
  3. 9
  4. 0.0016
  5. 0.017
  6. 16384
  7. 0.89
  8. 41000
  9. 0.52
  10. 7500000
  11. 63
  12. 15
  13. 512
  14. 0.00013
  15. 0.64
  16. 6
  17. 1/64
  18. 20000000
  19. 1024
  20. 0.0061
  21. 8900000
  22. 6561
  23. 1/243
  24. 300000
  25. 1/5
  26. 5/3
  27. 6561
  28. 9
  29. 680
  30. 25
  31. 0.084
  32. 256
  33. 1/216
  34. 0.36
  35. 9
  36. 1/256
  37. 1/36
  38. 16
  39. 7
  40. 49/4

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