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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 717 · 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 4.9 × 10⁻³ as a decimal. =
  2. 2.Write 9³ × 9⁶ as a single power 9ⁿ. What is n?
  3. 3.What is the value of 3⁷? =
  4. 4.Write (6⁴)² as a single power 6ⁿ. What is n?
  5. 5.What is the value of 2¹ × 2⁻³? =
  6. 6.What is the value of 10⁴ × 10⁻¹? =
  7. 7.What is the value of 10³ × 10⁻²? =
  8. 8.What is the value of (6/7)⁻¹? =
  9. 9.What is the value of 2²? =
  10. 10.What is the value of 9⁻² (as a fraction)? =
  11. 11.Write 24,000 in standard form as 2.4 × 10ⁿ. What is n?
  12. 12.Write 1.9 × 10⁻² as a decimal. =
  13. 13.What is the value of 7⁵? =
  14. 14.Write 6.2 × 10⁻⁴ as a decimal. =
  15. 15.Write 2.8 × 10⁻³ as a decimal. =
  16. 16.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  17. 17.Write (5⁸)⁸ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 2⁶? =
  19. 19.What is the value of 3⁴ × 3⁻⁵? =
  20. 20.What is the value of 2² × 2⁻²? =
  21. 21.Write 8¹¹ ÷ 8³ as a single power 8ⁿ. What is n?
  22. 22.What is the value of 10⁴ × 10⁻⁵? =
  23. 23.What is the value of 2¹¹? =
  24. 24.What is the value of (1/4)⁻¹? =
  25. 25.What is the value of 10⁻³ (as a fraction)? =
  26. 26.Write 7.3 × 10⁻⁴ as a decimal. =
  27. 27.Write 7.2 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 3⁵ × 3⁻³? =
  29. 29.Write 5,60,000 in standard form as 5.6 × 10ⁿ. What is n?
  30. 30.Write 2.9 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of (3/5)⁻¹? =
  32. 32.8.3 × 10⁴ =
  33. 33.What is the value of 8⁴? =
  34. 34.7.4 × 10⁶ =
  35. 35.Write 1.1 × 10⁻² as a decimal. =
  36. 36.What is the value of 2⁹? =
  37. 37.What is the value of 8³? =
  38. 38.What is the value of 2⁴? =
  39. 39.Write 6.5 × 10⁻¹ as a decimal. =
  40. 40.Write (7²)² as a single power 7ⁿ. What is n?

Answer key

  1. 0.0049
  2. 9
  3. 2187
  4. 8
  5. 1/4
  6. 1000
  7. 10
  8. 7/6
  9. 4
  10. 1/81
  11. 4
  12. 0.019
  13. 16807
  14. 0.00062
  15. 0.0028
  16. 3
  17. 64
  18. 64
  19. 1/3
  20. 1
  21. 8
  22. 1/10
  23. 2048
  24. 4
  25. 1/1000
  26. 0.00073
  27. 0.00072
  28. 9
  29. 5
  30. 0.00029
  31. 5/3
  32. 83000
  33. 4096
  34. 7400000
  35. 0.011
  36. 512
  37. 512
  38. 16
  39. 0.65
  40. 4

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