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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 991 · 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 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  2. 2.8.6 × 10⁶ =
  3. 3.5.1 × 10⁵ =
  4. 4.9.9 × 10⁵ =
  5. 5.What is the value of 9⁴? =
  6. 6.Write 8.3 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 4⁻⁴ (as a fraction)? =
  8. 8.Write 4.8 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 3⁴? =
  10. 10.Write 1.4 × 10⁻¹ as a decimal. =
  11. 11.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  12. 12.Write 1.4 × 10⁻³ as a decimal. =
  13. 13.What is the value of 2⁵? =
  14. 14.What is the value of 5⁶ × 5⁻²? =
  15. 15.2.5 × 10⁷ =
  16. 16.What is the value of 5⁻³ (as a fraction)? =
  17. 17.Write 6.8 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 4³? =
  19. 19.What is the value of (1/6)⁻¹? =
  20. 20.What is the value of (1/9)⁻¹? =
  21. 21.Write 9.1 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 8⁻² (as a fraction)? =
  23. 23.What is the value of 6²? =
  24. 24.Write (3⁷)⁷ as a single power 3ⁿ. What is n?
  25. 25.Write 3¹¹ ÷ 3⁵ as a single power 3ⁿ. What is n?
  26. 26.Write 2 × 10⁻⁴ as a decimal. =
  27. 27.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 9⁵? =
  29. 29.Write 3.3 × 10⁻² as a decimal. =
  30. 30.Write (2²)⁵ as a single power 2ⁿ. What is n?
  31. 31.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?
  32. 32.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
  33. 33.Write 2⁸ × 2⁶ as a single power 2ⁿ. What is n?
  34. 34.Write 7.5 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 10² × 10⁻⁵? =
  36. 36.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  37. 37.What is the value of 10²? =
  38. 38.Write 6⁵ × 6⁴ as a single power 6ⁿ. What is n?
  39. 39.Write 3.8 × 10⁻² as a decimal. =
  40. 40.Write 9.6 × 10⁻⁴ as a decimal. =

Answer key

  1. 12
  2. 8600000
  3. 510000
  4. 990000
  5. 6561
  6. 0.83
  7. 1/256
  8. 0.48
  9. 81
  10. 0.14
  11. 8
  12. 0.0014
  13. 32
  14. 625
  15. 25000000
  16. 1/125
  17. 0.68
  18. 64
  19. 6
  20. 9
  21. 0.91
  22. 1/64
  23. 36
  24. 49
  25. 6
  26. 0.0002
  27. 9
  28. 59049
  29. 0.033
  30. 10
  31. 15
  32. 7
  33. 14
  34. 0.75
  35. 1/1000
  36. 3
  37. 100
  38. 9
  39. 0.038
  40. 0.00096

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