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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 838 · 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. 1.7 × 10⁵ =
  2. 2.What is the value of 3⁶? =
  3. 3.Write 5.1 × 10⁻¹ as a decimal. =
  4. 4.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?
  5. 5.What is the value of 3⁴ × 3⁻¹? =
  6. 6.Write 4² × 4³ as a single power 4ⁿ. What is n?
  7. 7.Write 6.2 × 10⁻³ as a decimal. =
  8. 8.Write 4 × 10⁻¹ as a decimal. =
  9. 9.What is the value of (3/4)⁻¹? =
  10. 10.What is the value of 2²? =
  11. 11.1.8 × 10⁴ =
  12. 12.Write 8.6 × 10⁻² as a decimal. =
  13. 13.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  14. 14.What is the value of 6⁵? =
  15. 15.What is the value of 2¹¹? =
  16. 16.What is the value of 3⁹? =
  17. 17.What is the value of 2¹⁰? =
  18. 18.What is the value of 2¹⁶? =
  19. 19.Write 6.1 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 10⁻³ (as a fraction)? =
  21. 21.1.4 × 10⁶ =
  22. 22.What is the value of (1/4)⁻¹? =
  23. 23.What is the value of 10⁵? =
  24. 24.Write 7² × 7⁹ as a single power 7ⁿ. What is n?
  25. 25.2.7 × 10⁴ =
  26. 26.Write 2.5 × 10⁻² as a decimal. =
  27. 27.Write 4 × 10⁻³ as a decimal. =
  28. 28.Write 9 × 10⁻³ as a decimal. =
  29. 29.What is the value of 4⁵? =
  30. 30.What is the value of (5/7)⁻¹? =
  31. 31.What is the value of 8²? =
  32. 32.What is the value of (5/9)⁻²? =
  33. 33.What is the value of 5⁵ × 5⁻⁶? =
  34. 34.What is the value of 10⁴? =
  35. 35.Write 9⁷ ÷ 9⁴ as a single power 9ⁿ. What is n?
  36. 36.What is the value of (7/8)⁻²? =
  37. 37.Write 3.5 × 10⁻¹ as a decimal. =
  38. 38.Write 4.6 × 10⁻³ as a decimal. =
  39. 39.Write 1.7 × 10⁻¹ as a decimal. =
  40. 40.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?

Answer key

  1. 700000
  2. 729
  3. 0.51
  4. 3
  5. 27
  6. 5
  7. 0.0062
  8. 0.4
  9. 4/3
  10. 4
  11. 18000
  12. 0.086
  13. 10
  14. 7776
  15. 2048
  16. 19683
  17. 1024
  18. 65536
  19. 0.61
  20. 1/1000
  21. 1400000
  22. 4
  23. 100000
  24. 11
  25. 27000
  26. 0.025
  27. 0.004
  28. 0.009
  29. 1024
  30. 7/5
  31. 64
  32. 81/25
  33. 1/5
  34. 10000
  35. 3
  36. 64/49
  37. 0.35
  38. 0.0046
  39. 0.17
  40. 15

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