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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 250 · 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 5⁵? =
  2. 2.What is the value of 9³? =
  3. 3.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  4. 4.Write 3⁵ × 3² as a single power 3ⁿ. What is n?
  5. 5.What is the value of 3⁻² (as a fraction)? =
  6. 6.Write 9.4 × 10⁻¹ as a decimal. =
  7. 7.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  8. 8.What is the value of 2¹¹? =
  9. 9.3.4 × 10⁵ =
  10. 10.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  11. 11.What is the value of 5⁴ × 5⁻²? =
  12. 12.Write 2⁷ × 2⁵ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 10⁵? =
  14. 14.What is the value of 2⁵ × 2⁻³? =
  15. 15.What is the value of 2¹⁰? =
  16. 16.Write (3³)² as a single power 3ⁿ. What is n?
  17. 17.3.8 × 10⁶ =
  18. 18.Write 3.2 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 2¹ × 2⁻⁶? =
  20. 20.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  21. 21.What is the value of (1/8)⁻²? =
  22. 22.What is the value of (1/8)⁻¹? =
  23. 23.What is the value of 7⁵? =
  24. 24.What is the value of 10⁵ × 10⁻⁶? =
  25. 25.What is the value of 10¹ × 10⁻¹? =
  26. 26.What is the value of 10² × 10⁻⁴? =
  27. 27.What is the value of 5⁴? =
  28. 28.What is the value of 2² × 2⁻⁴? =
  29. 29.Write 8.8 × 10⁻³ as a decimal. =
  30. 30.What is the value of 4⁸? =
  31. 31.Write (8⁵)⁵ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 5⁻⁴ (as a fraction)? =
  33. 33.1.9 × 10⁷ =
  34. 34.Write 2 × 10⁻² as a decimal. =
  35. 35.What is the value of 2³ × 2⁻¹? =
  36. 36.What is the value of (4/5)⁻¹? =
  37. 37.What is the value of 10⁶ × 10⁻⁵? =
  38. 38.Write 8¹⁵ ÷ 8⁶ as a single power 8ⁿ. What is n?
  39. 39.Write 5⁸ ÷ 5⁶ as a single power 5ⁿ. What is n?
  40. 40.What is the value of 10⁵ × 10⁻⁴? =

Answer key

  1. 3125
  2. 729
  3. 2
  4. 7
  5. 1/9
  6. 0.94
  7. 15
  8. 2048
  9. 340000
  10. 4
  11. 25
  12. 12
  13. 100000
  14. 4
  15. 1024
  16. 6
  17. 3800000
  18. 0.00032
  19. 1/32
  20. 2
  21. 64
  22. 8
  23. 16807
  24. 1/10
  25. 1
  26. 1/100
  27. 625
  28. 1/4
  29. 0.0088
  30. 65536
  31. 25
  32. 1/625
  33. 19000000
  34. 0.02
  35. 4
  36. 5/4
  37. 10
  38. 9
  39. 2
  40. 10

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