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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 186 · 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 5.8 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of (1/3)⁻²? =
  3. 3.Write 3.4 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 2¹ × 2⁻³? =
  5. 5.What is the value of (3/4)⁻¹? =
  6. 6.Write 7¹³ ÷ 7⁹ as a single power 7ⁿ. What is n?
  7. 7.What is the value of 9²? =
  8. 8.Write 8.3 × 10⁻¹ as a decimal. =
  9. 9.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
  10. 10.1.3 × 10⁷ =
  11. 11.Write 2¹⁵ ÷ 2⁶ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 2⁵ × 2⁻¹? =
  13. 13.Write 4.2 × 10⁻⁴ as a decimal. =
  14. 14.Write 8.9 × 10⁻² as a decimal. =
  15. 15.What is the value of 3⁻⁶ (as a fraction)? =
  16. 16.9.3 × 10⁶ =
  17. 17.Write 7.9 × 10⁻³ as a decimal. =
  18. 18.What is the value of 2¹ × 2⁻⁶? =
  19. 19.What is the value of 4⁶? =
  20. 20.What is the value of 3³ × 3⁻⁶? =
  21. 21.What is the value of 6⁵? =
  22. 22.What is the value of 4⁷? =
  23. 23.What is the value of 2³? =
  24. 24.Write 7⁵ × 7⁶ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 3⁶? =
  26. 26.Write (2²)² as a single power 2ⁿ. What is n?
  27. 27.Write 1.7 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 3⁸? =
  29. 29.What is the value of 3³? =
  30. 30.Write 4⁸ × 4⁸ as a single power 4ⁿ. What is n?
  31. 31.Write 8.9 × 10⁻³ as a decimal. =
  32. 32.Write 7¹² ÷ 7⁸ as a single power 7ⁿ. What is n?
  33. 33.Write 4.4 × 10⁻² as a decimal. =
  34. 34.What is the value of 3⁴ × 3⁻⁵? =
  35. 35.What is the value of 2¹⁴? =
  36. 36.Write 630 in standard form as 6.3 × 10ⁿ. What is n?
  37. 37.What is the value of 5⁷? =
  38. 38.What is the value of 10⁶ × 10⁻⁶? =
  39. 39.What is the value of 2⁴ × 2⁻⁵? =
  40. 40.What is the value of 9⁻² (as a fraction)? =

Answer key

  1. 0.00058
  2. 9
  3. 0.00034
  4. 1/4
  5. 4/3
  6. 4
  7. 81
  8. 0.83
  9. 3
  10. 13000000
  11. 9
  12. 16
  13. 0.00042
  14. 0.089
  15. 1/729
  16. 9300000
  17. 0.0079
  18. 1/32
  19. 4096
  20. 1/27
  21. 7776
  22. 16384
  23. 8
  24. 11
  25. 729
  26. 4
  27. 0.17
  28. 6561
  29. 27
  30. 16
  31. 0.0089
  32. 4
  33. 0.044
  34. 1/3
  35. 16384
  36. 2
  37. 78125
  38. 1
  39. 1/2
  40. 1/81

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