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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 260 · 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 (2⁷)⁴ as a single power 2ⁿ. What is n?
  2. 2.What is the value of 7⁵? =
  3. 3.What is the value of 3⁸? =
  4. 4.Write 7⁴ × 7⁵ as a single power 7ⁿ. What is n?
  5. 5.What is the value of 8⁴? =
  6. 6.What is the value of 5¹ × 5⁻⁴? =
  7. 7.What is the value of 10² × 10⁻¹? =
  8. 8.Write 3.7 × 10⁻³ as a decimal. =
  9. 9.What is the value of 5² × 5⁻¹? =
  10. 10.Write 7.4 × 10⁻³ as a decimal. =
  11. 11.Write 8⁵ × 8⁶ as a single power 8ⁿ. What is n?
  12. 12.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 6⁵? =
  14. 14.What is the value of (1/5)⁻¹? =
  15. 15.What is the value of 4⁸? =
  16. 16.What is the value of 3³ × 3⁻⁴? =
  17. 17.Write 8.8 × 10⁻¹ as a decimal. =
  18. 18.3.1 × 10³ =
  19. 19.What is the value of 5⁶ × 5⁻²? =
  20. 20.Write 8.9 × 10⁻³ as a decimal. =
  21. 21.Write 6.9 × 10⁻³ as a decimal. =
  22. 22.Write 8.6 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 5³ × 5⁻⁴? =
  24. 24.What is the value of 6⁻¹ (as a fraction)? =
  25. 25.What is the value of 2¹⁴? =
  26. 26.Write 700 in standard form as 7 × 10ⁿ. What is n?
  27. 27.7.4 × 10⁶ =
  28. 28.What is the value of 6⁶? =
  29. 29.7.6 × 10⁴ =
  30. 30.What is the value of 2¹⁰? =
  31. 31.Write 3⁸ ÷ 3⁴ as a single power 3ⁿ. What is n?
  32. 32.What is the value of 5³ × 5⁻⁵? =
  33. 33.What is the value of 8⁵? =
  34. 34.What is the value of (1/6)⁻²? =
  35. 35.Write 3.2 × 10⁻¹ as a decimal. =
  36. 36.Write 9.3 × 10⁻³ as a decimal. =
  37. 37.What is the value of 8⁻³ (as a fraction)? =
  38. 38.Write 3,70,000 in standard form as 3.7 × 10ⁿ. What is n?
  39. 39.Write 7.8 × 10⁻¹ as a decimal. =
  40. 40.1.1 × 10³ =

Answer key

  1. 28
  2. 16807
  3. 6561
  4. 9
  5. 4096
  6. 1/125
  7. 10
  8. 0.0037
  9. 5
  10. 0.0074
  11. 11
  12. 14
  13. 7776
  14. 5
  15. 65536
  16. 1/3
  17. 0.88
  18. 3100
  19. 625
  20. 0.0089
  21. 0.0069
  22. 0.86
  23. 1/5
  24. 1/6
  25. 16384
  26. 2
  27. 7400000
  28. 46656
  29. 76000
  30. 1024
  31. 4
  32. 1/25
  33. 32768
  34. 36
  35. 0.32
  36. 0.0093
  37. 1/512
  38. 5
  39. 0.78
  40. 1100

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