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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 757 · 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 7⁴? =
  2. 2.What is the value of 6⁻³ (as a fraction)? =
  3. 3.What is the value of 3⁵ × 3⁻⁶? =
  4. 4.Write 9.4 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 10⁵? =
  6. 6.What is the value of 6⁵? =
  7. 7.3 × 10² =
  8. 8.What is the value of 10⁴ × 10⁻³? =
  9. 9.What is the value of 2⁵ × 2⁻²? =
  10. 10.2.4 × 10² =
  11. 11.6.5 × 10⁴ =
  12. 12.Write 9.6 × 10⁻⁴ as a decimal. =
  13. 13.Write 91,00,000 in standard form as 9.1 × 10ⁿ. What is n?
  14. 14.Write 4⁵ ÷ 4² as a single power 4ⁿ. What is n?
  15. 15.Write 6.8 × 10⁻² as a decimal. =
  16. 16.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  17. 17.What is the value of 5⁻² (as a fraction)? =
  18. 18.Write 6.3 × 10⁻² as a decimal. =
  19. 19.What is the value of 5³? =
  20. 20.What is the value of 2² × 2⁻¹? =
  21. 21.Write 71,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  22. 22.8.4 × 10⁴ =
  23. 23.What is the value of (3/7)⁻¹? =
  24. 24.What is the value of 3³ × 3⁻²? =
  25. 25.What is the value of 8⁻¹ (as a fraction)? =
  26. 26.What is the value of 2⁷? =
  27. 27.What is the value of 3²? =
  28. 28.What is the value of 2¹⁴? =
  29. 29.What is the value of (2/5)⁻¹? =
  30. 30.What is the value of 10⁵ × 10⁻⁴? =
  31. 31.Write 3.3 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 3⁵ × 3⁻³? =
  33. 33.What is the value of 2¹ × 2⁻¹? =
  34. 34.What is the value of 3⁵? =
  35. 35.What is the value of (1/5)⁻²? =
  36. 36.What is the value of 2⁶ × 2⁻⁴? =
  37. 37.1.8 × 10⁷ =
  38. 38.Write 8.5 × 10⁻³ as a decimal. =
  39. 39.2.3 × 10⁴ =
  40. 40.What is the value of 2³? =

Answer key

  1. 2401
  2. 1/216
  3. 1/3
  4. 0.94
  5. 100000
  6. 7776
  7. 300
  8. 10
  9. 8
  10. 240
  11. 65000
  12. 0.00096
  13. 6
  14. 3
  15. 0.068
  16. 3
  17. 1/25
  18. 0.063
  19. 125
  20. 2
  21. 6
  22. 84000
  23. 7/3
  24. 3
  25. 1/8
  26. 128
  27. 9
  28. 16384
  29. 5/2
  30. 10
  31. 0.00033
  32. 9
  33. 1
  34. 243
  35. 25
  36. 4
  37. 18000000
  38. 0.0085
  39. 23000
  40. 8

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