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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 839 · 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 2² × 2⁻¹? =
  2. 2.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
  3. 3.What is the value of 2⁻³ (as a fraction)? =
  4. 4.What is the value of 3⁻¹ (as a fraction)? =
  5. 5.Write 8.9 × 10⁻³ as a decimal. =
  6. 6.Write 2.6 × 10⁻² as a decimal. =
  7. 7.What is the value of 6²? =
  8. 8.9.2 × 10⁷ =
  9. 9.Write (3⁷)² as a single power 3ⁿ. What is n?
  10. 10.What is the value of (4/9)⁻²? =
  11. 11.Write 3¹⁴ ÷ 3⁹ as a single power 3ⁿ. What is n?
  12. 12.Write 380 in standard form as 3.8 × 10ⁿ. What is n?
  13. 13.What is the value of (1/2)⁻¹? =
  14. 14.What is the value of (5/6)⁻²? =
  15. 15.What is the value of 5¹ × 5⁻⁵? =
  16. 16.Write 180 in standard form as 1.8 × 10ⁿ. What is n?
  17. 17.What is the value of (5/6)⁻¹? =
  18. 18.Write 6 × 10⁻⁴ as a decimal. =
  19. 19.1.9 × 10⁷ =
  20. 20.What is the value of 3⁵? =
  21. 21.What is the value of (4/5)⁻¹? =
  22. 22.What is the value of (1/5)⁻²? =
  23. 23.Write 3⁹ ÷ 3³ as a single power 3ⁿ. What is n?
  24. 24.9.5 × 10² =
  25. 25.Write 7¹⁵ ÷ 7⁹ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 5⁵ × 5⁻⁴? =
  27. 27.Write 8³ × 8² as a single power 8ⁿ. What is n?
  28. 28.What is the value of 9⁻³ (as a fraction)? =
  29. 29.What is the value of 8³? =
  30. 30.What is the value of 5²? =
  31. 31.What is the value of 7²? =
  32. 32.What is the value of 10⁶ × 10⁻⁵? =
  33. 33.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  34. 34.Write 7.2 × 10⁻⁴ as a decimal. =
  35. 35.6.3 × 10⁴ =
  36. 36.Write 27,000 in standard form as 2.7 × 10ⁿ. What is n?
  37. 37.Write 2¹⁰ ÷ 2⁸ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 10³ × 10⁻⁴? =
  39. 39.What is the value of 3² × 3⁻²? =
  40. 40.What is the value of 10⁻² (as a fraction)? =

Answer key

  1. 2
  2. 2
  3. 1/8
  4. 1/3
  5. 0.0089
  6. 0.026
  7. 36
  8. 92000000
  9. 14
  10. 81/16
  11. 5
  12. 2
  13. 2
  14. 36/25
  15. 1/625
  16. 2
  17. 6/5
  18. 0.0006
  19. 19000000
  20. 243
  21. 5/4
  22. 25
  23. 6
  24. 950
  25. 6
  26. 5
  27. 5
  28. 1/729
  29. 512
  30. 25
  31. 49
  32. 10
  33. 9
  34. 0.00072
  35. 63000
  36. 4
  37. 2
  38. 1/10
  39. 1
  40. 1/100

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