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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 713 · 40 sums
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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 8.7 × 10⁻⁴ as a decimal. =
  2. 2.Write (8⁷)³ as a single power 8ⁿ. What is n?
  3. 3.What is the value of (5/9)⁻¹? =
  4. 4.Write 5.6 × 10⁻³ as a decimal. =
  5. 5.What is the value of (3/7)⁻¹? =
  6. 6.Write 2,00,000 in standard form as 2 × 10ⁿ. What is n?
  7. 7.6 × 10⁴ =
  8. 8.What is the value of 2⁵? =
  9. 9.Write 8.6 × 10⁻³ as a decimal. =
  10. 10.Write 6.3 × 10⁻² as a decimal. =
  11. 11.Write 90,000 in standard form as 9 × 10ⁿ. What is n?
  12. 12.Write 6.5 × 10⁻² as a decimal. =
  13. 13.What is the value of 5⁵ × 5⁻⁶? =
  14. 14.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  15. 15.What is the value of 8⁵? =
  16. 16.What is the value of 10⁵ × 10⁻³? =
  17. 17.Write 4.9 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 3⁸? =
  19. 19.What is the value of 3¹ × 3⁻¹? =
  20. 20.6 × 10⁵ =
  21. 21.Write 190 in standard form as 1.9 × 10ⁿ. What is n?
  22. 22.Write (4³)⁸ as a single power 4ⁿ. What is n?
  23. 23.Write 8.9 × 10⁻² as a decimal. =
  24. 24.What is the value of 2¹²? =
  25. 25.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
  26. 26.5.6 × 10⁴ =
  27. 27.What is the value of 2⁶ × 2⁻⁴? =
  28. 28.What is the value of 8⁻¹ (as a fraction)? =
  29. 29.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  30. 30.What is the value of (1/9)⁻²? =
  31. 31.Write 8¹⁰ ÷ 8⁴ as a single power 8ⁿ. What is n?
  32. 32.Write 7.8 × 10⁻¹ as a decimal. =
  33. 33.Write 5.3 × 10⁻¹ as a decimal. =
  34. 34.Write 2.3 × 10⁻² as a decimal. =
  35. 35.What is the value of 5⁴? =
  36. 36.What is the value of 5⁶ × 5⁻⁵? =
  37. 37.Write 3⁴ × 3³ as a single power 3ⁿ. What is n?
  38. 38.8.2 × 10⁷ =
  39. 39.What is the value of 5⁻¹ (as a fraction)? =
  40. 40.What is the value of 2⁴ × 2⁻²? =

Answer key

  1. 0.00087
  2. 21
  3. 9/5
  4. 0.0056
  5. 7/3
  6. 5
  7. 60000
  8. 32
  9. 0.0086
  10. 0.063
  11. 4
  12. 0.065
  13. 1/5
  14. 3
  15. 32768
  16. 100
  17. 0.49
  18. 6561
  19. 1
  20. 600000
  21. 2
  22. 24
  23. 0.089
  24. 4096
  25. 5
  26. 56000
  27. 4
  28. 1/8
  29. 9
  30. 81
  31. 6
  32. 0.78
  33. 0.53
  34. 0.023
  35. 625
  36. 5
  37. 7
  38. 82000000
  39. 1/5
  40. 4

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