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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 404 · 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 4³? =
  2. 2.What is the value of 2⁸? =
  3. 3.Write 8.3 × 10⁻¹ as a decimal. =
  4. 4.What is the value of (1/4)⁻¹? =
  5. 5.Write 6.9 × 10⁻³ as a decimal. =
  6. 6.What is the value of 10⁵ × 10⁻³? =
  7. 7.Write (8³)³ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 2⁻⁵ (as a fraction)? =
  9. 9.Write 2⁹ × 2⁶ as a single power 2ⁿ. What is n?
  10. 10.9.2 × 10² =
  11. 11.What is the value of 5⁴? =
  12. 12.What is the value of 3⁵? =
  13. 13.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  14. 14.8.9 × 10⁷ =
  15. 15.What is the value of 3² × 3⁻³? =
  16. 16.What is the value of 2²? =
  17. 17.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  18. 18.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  19. 19.Write 9.2 × 10⁻³ as a decimal. =
  20. 20.Write 4.1 × 10⁻³ as a decimal. =
  21. 21.Write 2.3 × 10⁻² as a decimal. =
  22. 22.What is the value of (4/5)⁻¹? =
  23. 23.4 × 10⁵ =
  24. 24.Write 5.5 × 10⁻⁴ as a decimal. =
  25. 25.Write (8⁸)⁷ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 3⁷? =
  27. 27.9.5 × 10⁷ =
  28. 28.What is the value of 2⁴ × 2⁻⁶? =
  29. 29.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?
  30. 30.What is the value of 6⁻² (as a fraction)? =
  31. 31.4.8 × 10⁵ =
  32. 32.What is the value of 2⁻² (as a fraction)? =
  33. 33.What is the value of 10⁴? =
  34. 34.What is the value of 6²? =
  35. 35.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  36. 36.What is the value of (3/8)⁻¹? =
  37. 37.Write 3.9 × 10⁻⁴ as a decimal. =
  38. 38.Write 250 in standard form as 2.5 × 10ⁿ. What is n?
  39. 39.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  40. 40.What is the value of 9²? =

Answer key

  1. 64
  2. 256
  3. 0.83
  4. 4
  5. 0.0069
  6. 100
  7. 9
  8. 1/32
  9. 15
  10. 920
  11. 625
  12. 243
  13. 2
  14. 89000000
  15. 1/3
  16. 4
  17. 3
  18. 6
  19. 0.0092
  20. 0.0041
  21. 0.023
  22. 5/4
  23. 400000
  24. 0.00055
  25. 56
  26. 2187
  27. 95000000
  28. 1/4
  29. 3
  30. 1/36
  31. 480000
  32. 1/4
  33. 10000
  34. 36
  35. 3
  36. 8/3
  37. 0.00039
  38. 2
  39. 4
  40. 81

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