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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 605 · 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 5⁸ ÷ 5⁵ as a single power 5ⁿ. What is n?
  2. 2.Write 1.6 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 9⁴? =
  4. 4.Write (6²)⁷ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 2⁴? =
  6. 6.Write 9¹¹ ÷ 9² as a single power 9ⁿ. What is n?
  7. 7.Write 4.7 × 10⁻² as a decimal. =
  8. 8.What is the value of (3/5)⁻¹? =
  9. 9.What is the value of 2⁹? =
  10. 10.What is the value of 2² × 2⁻¹? =
  11. 11.What is the value of 3³ × 3⁻¹? =
  12. 12.What is the value of 5³? =
  13. 13.What is the value of (2/7)⁻²? =
  14. 14.What is the value of (8/9)⁻²? =
  15. 15.What is the value of 5⁶ × 5⁻⁴? =
  16. 16.Write 3.4 × 10⁻³ as a decimal. =
  17. 17.What is the value of 10¹ × 10⁻¹? =
  18. 18.9.7 × 10⁴ =
  19. 19.What is the value of (7/8)⁻¹? =
  20. 20.What is the value of 4⁷? =
  21. 21.What is the value of 2⁶ × 2⁻²? =
  22. 22.Write 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  23. 23.Write 1.8 × 10⁻² as a decimal. =
  24. 24.What is the value of 8³? =
  25. 25.Write 8⁸ × 8³ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 2³ × 2⁻²? =
  27. 27.What is the value of (1/2)⁻²? =
  28. 28.4.9 × 10⁴ =
  29. 29.Write 7.3 × 10⁻² as a decimal. =
  30. 30.What is the value of 2⁵? =
  31. 31.What is the value of 3⁴ × 3⁻³? =
  32. 32.Write 3.9 × 10⁻² as a decimal. =
  33. 33.What is the value of 2¹ × 2⁻⁶? =
  34. 34.What is the value of (4/7)⁻²? =
  35. 35.Write 9,700 in standard form as 9.7 × 10ⁿ. What is n?
  36. 36.5.1 × 10² =
  37. 37.Write 6.2 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 9³? =
  39. 39.Write 7⁹ × 7⁸ as a single power 7ⁿ. What is n?
  40. 40.Write (6³)⁴ as a single power 6ⁿ. What is n?

Answer key

  1. 3
  2. 0.16
  3. 6561
  4. 14
  5. 16
  6. 9
  7. 0.047
  8. 5/3
  9. 512
  10. 2
  11. 9
  12. 125
  13. 49/4
  14. 81/64
  15. 25
  16. 0.0034
  17. 1
  18. 97000
  19. 8/7
  20. 16384
  21. 16
  22. 6
  23. 0.018
  24. 512
  25. 11
  26. 2
  27. 4
  28. 49000
  29. 0.073
  30. 32
  31. 3
  32. 0.039
  33. 1/32
  34. 49/16
  35. 3
  36. 510
  37. 0.62
  38. 729
  39. 17
  40. 12

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