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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 142 · 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.What is the value of 10²? =
  2. 2.What is the value of 10⁵? =
  3. 3.What is the value of (5/6)⁻²? =
  4. 4.Write 9.8 × 10⁻¹ as a decimal. =
  5. 5.Write (2³)⁸ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 2¹⁶? =
  7. 7.What is the value of 5⁴ × 5⁻⁶? =
  8. 8.What is the value of 5³ × 5⁻⁶? =
  9. 9.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  10. 10.Write 7.2 × 10⁻² as a decimal. =
  11. 11.Write 3⁴ × 3⁴ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 3² × 3⁻⁴? =
  13. 13.Write 8.4 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 4⁻⁴ (as a fraction)? =
  15. 15.What is the value of 2⁵ × 2⁻¹? =
  16. 16.Write 4⁸ ÷ 4⁴ as a single power 4ⁿ. What is n?
  17. 17.Write 8 × 10⁻² as a decimal. =
  18. 18.Write (2⁴)⁹ as a single power 2ⁿ. What is n?
  19. 19.Write 5.9 × 10⁻⁴ as a decimal. =
  20. 20.Write 1.3 × 10⁻¹ as a decimal. =
  21. 21.1.4 × 10³ =
  22. 22.What is the value of 3³? =
  23. 23.Write (2⁹)⁸ as a single power 2ⁿ. What is n?
  24. 24.What is the value of (1/8)⁻¹? =
  25. 25.What is the value of 2⁵ × 2⁻⁵? =
  26. 26.What is the value of 3⁶? =
  27. 27.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  28. 28.Write 1.7 × 10⁻⁴ as a decimal. =
  29. 29.Write 7.6 × 10⁻³ as a decimal. =
  30. 30.Write 2³ × 2⁶ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 3⁹? =
  32. 32.What is the value of (2/5)⁻¹? =
  33. 33.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  34. 34.What is the value of 2⁹? =
  35. 35.What is the value of 3⁻¹ (as a fraction)? =
  36. 36.What is the value of 5⁵? =
  37. 37.What is the value of 2¹⁵? =
  38. 38.Write 2³ × 2⁷ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 2² × 2⁻⁴? =
  40. 40.3.5 × 10⁶ =

Answer key

  1. 100
  2. 100000
  3. 36/25
  4. 0.98
  5. 24
  6. 65536
  7. 1/25
  8. 1/125
  9. 2
  10. 0.072
  11. 8
  12. 1/9
  13. 0.00084
  14. 1/256
  15. 16
  16. 4
  17. 0.08
  18. 36
  19. 0.00059
  20. 0.13
  21. 1400
  22. 27
  23. 72
  24. 8
  25. 1
  26. 729
  27. 13
  28. 0.00017
  29. 0.0076
  30. 9
  31. 19683
  32. 5/2
  33. 2
  34. 512
  35. 1/3
  36. 3125
  37. 32768
  38. 10
  39. 1/4
  40. 3500000

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