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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 137 · 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. 1.3.9 × 10⁷ =
  2. 2.What is the value of 2⁵ × 2⁻⁶? =
  3. 3.What is the value of 10⁻³ (as a fraction)? =
  4. 4.Write 9.1 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 10² × 10⁻⁶? =
  6. 6.Write 8.1 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 8⁵? =
  8. 8.Write (8⁵)⁶ as a single power 8ⁿ. What is n?
  9. 9.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  10. 10.What is the value of (7/8)⁻¹? =
  11. 11.What is the value of 3³? =
  12. 12.What is the value of 5⁵? =
  13. 13.Write 6.7 × 10⁻¹ as a decimal. =
  14. 14.3.6 × 10⁵ =
  15. 15.What is the value of (1/2)⁻¹? =
  16. 16.Write (7²)⁴ as a single power 7ⁿ. What is n?
  17. 17.What is the value of 10⁵ × 10⁻⁶? =
  18. 18.Write 1.9 × 10⁻³ as a decimal. =
  19. 19.1.9 × 10³ =
  20. 20.Write 4 × 10⁻³ as a decimal. =
  21. 21.What is the value of 2⁸? =
  22. 22.What is the value of 6²? =
  23. 23.5.9 × 10⁵ =
  24. 24.Write 9⁹ × 9² as a single power 9ⁿ. What is n?
  25. 25.3.7 × 10⁶ =
  26. 26.What is the value of 4⁻² (as a fraction)? =
  27. 27.What is the value of 2¹⁰? =
  28. 28.2.6 × 10⁷ =
  29. 29.What is the value of 10⁴ × 10⁻²? =
  30. 30.What is the value of 10¹ × 10⁻³? =
  31. 31.What is the value of 2¹ × 2⁻⁶? =
  32. 32.Write 5 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 10³? =
  34. 34.What is the value of 2⁵? =
  35. 35.What is the value of 4⁵? =
  36. 36.What is the value of 3⁷? =
  37. 37.Write 2.6 × 10⁻⁴ as a decimal. =
  38. 38.Write (6²)⁸ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 2²? =
  40. 40.What is the value of 5¹ × 5⁻⁶? =

Answer key

  1. 39000000
  2. 1/2
  3. 1/1000
  4. 0.00091
  5. 1/10000
  6. 0.81
  7. 32768
  8. 30
  9. 4
  10. 8/7
  11. 27
  12. 3125
  13. 0.67
  14. 360000
  15. 2
  16. 8
  17. 1/10
  18. 0.0019
  19. 1900
  20. 0.004
  21. 256
  22. 36
  23. 590000
  24. 11
  25. 3700000
  26. 1/16
  27. 1024
  28. 26000000
  29. 100
  30. 1/100
  31. 1/32
  32. 0.5
  33. 1000
  34. 32
  35. 1024
  36. 2187
  37. 0.00026
  38. 16
  39. 4
  40. 1/3125

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