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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 357 · 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 8.5 × 10⁻³ as a decimal. =
  2. 2.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 8⁴? =
  4. 4.What is the value of 2⁻⁷ (as a fraction)? =
  5. 5.What is the value of 3⁻¹ (as a fraction)? =
  6. 6.1.6 × 10² =
  7. 7.Write 8.8 × 10⁻³ as a decimal. =
  8. 8.What is the value of 2⁶? =
  9. 9.Write (2⁹)⁹ as a single power 2ⁿ. What is n?
  10. 10.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  11. 11.Write (2⁹)⁵ as a single power 2ⁿ. What is n?
  12. 12.Write 9.8 × 10⁻⁴ as a decimal. =
  13. 13.Write 9¹³ ÷ 9⁶ as a single power 9ⁿ. What is n?
  14. 14.What is the value of 4⁶? =
  15. 15.What is the value of (1/4)⁻¹? =
  16. 16.What is the value of 3⁴ × 3⁻¹? =
  17. 17.What is the value of 3⁵? =
  18. 18.What is the value of 6⁵? =
  19. 19.Write 6⁸ × 6⁵ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 5⁴? =
  21. 21.Write 5.8 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 9²? =
  23. 23.What is the value of (7/8)⁻²? =
  24. 24.What is the value of 2⁻⁶ (as a fraction)? =
  25. 25.Write 8⁴ × 8⁴ as a single power 8ⁿ. What is n?
  26. 26.3.8 × 10² =
  27. 27.Write 2¹⁵ ÷ 2⁸ as a single power 2ⁿ. What is n?
  28. 28.Write (8²)⁴ as a single power 8ⁿ. What is n?
  29. 29.6 × 10³ =
  30. 30.Write (2²)⁸ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 2²? =
  32. 32.Write 9.3 × 10⁻³ as a decimal. =
  33. 33.Write (7⁸)⁸ as a single power 7ⁿ. What is n?
  34. 34.Write 6⁶ ÷ 6³ as a single power 6ⁿ. What is n?
  35. 35.Write 6.1 × 10⁻² as a decimal. =
  36. 36.4.1 × 10² =
  37. 37.9.3 × 10⁴ =
  38. 38.Write 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?
  39. 39.What is the value of 10⁻² (as a fraction)? =
  40. 40.What is the value of 2³ × 2⁻¹? =

Answer key

  1. 0.0085
  2. 11
  3. 4096
  4. 1/128
  5. 1/3
  6. 160
  7. 0.0088
  8. 64
  9. 81
  10. 3
  11. 45
  12. 0.00098
  13. 7
  14. 4096
  15. 4
  16. 27
  17. 243
  18. 7776
  19. 13
  20. 625
  21. 0.58
  22. 81
  23. 64/49
  24. 1/64
  25. 8
  26. 380
  27. 7
  28. 8
  29. 6000
  30. 16
  31. 4
  32. 0.0093
  33. 64
  34. 3
  35. 0.061
  36. 410
  37. 93000
  38. 5
  39. 1/100
  40. 4

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