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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 921 · 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 7⁴? =
  2. 2.5.9 × 10⁵ =
  3. 3.Write 2⁹ × 2⁷ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 3² × 3⁻¹? =
  5. 5.Write 9.6 × 10⁻² as a decimal. =
  6. 6.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  7. 7.What is the value of 5¹ × 5⁻¹? =
  8. 8.What is the value of 7⁻³ (as a fraction)? =
  9. 9.What is the value of 5¹ × 5⁻⁵? =
  10. 10.What is the value of 3⁵ × 3⁻¹? =
  11. 11.What is the value of 2¹ × 2⁻²? =
  12. 12.What is the value of 3⁻¹ (as a fraction)? =
  13. 13.What is the value of 5⁵ × 5⁻²? =
  14. 14.Write 6⁸ × 6⁹ as a single power 6ⁿ. What is n?
  15. 15.5.8 × 10⁶ =
  16. 16.What is the value of 3⁶ × 3⁻⁴? =
  17. 17.Write 7.7 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 5⁴? =
  19. 19.Write 2⁸ × 2⁷ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 5⁻⁴ (as a fraction)? =
  21. 21.Write 5.6 × 10⁻¹ as a decimal. =
  22. 22.Write (6⁸)⁹ as a single power 6ⁿ. What is n?
  23. 23.Write (5⁹)⁹ as a single power 5ⁿ. What is n?
  24. 24.5 × 10² =
  25. 25.What is the value of 2⁴ × 2⁻⁴? =
  26. 26.6.5 × 10⁵ =
  27. 27.What is the value of (1/5)⁻¹? =
  28. 28.Write 2⁵ ÷ 2³ as a single power 2ⁿ. What is n?
  29. 29.Write 16,000 in standard form as 1.6 × 10ⁿ. What is n?
  30. 30.Write 2.7 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 10⁻³ (as a fraction)? =
  32. 32.Write 3¹¹ ÷ 3⁴ as a single power 3ⁿ. What is n?
  33. 33.Write 6.6 × 10⁻⁴ as a decimal. =
  34. 34.Write 3² × 3⁵ as a single power 3ⁿ. What is n?
  35. 35.What is the value of 2⁴? =
  36. 36.Write (6⁸)⁷ as a single power 6ⁿ. What is n?
  37. 37.4.1 × 10⁵ =
  38. 38.Write 570 in standard form as 5.7 × 10ⁿ. What is n?
  39. 39.Write 9.6 × 10⁻³ as a decimal. =
  40. 40.What is the value of 3³? =

Answer key

  1. 2401
  2. 590000
  3. 16
  4. 3
  5. 0.096
  6. 9
  7. 1
  8. 1/343
  9. 1/625
  10. 81
  11. 1/2
  12. 1/3
  13. 125
  14. 17
  15. 5800000
  16. 9
  17. 0.77
  18. 625
  19. 15
  20. 1/625
  21. 0.56
  22. 72
  23. 81
  24. 500
  25. 1
  26. 650000
  27. 5
  28. 2
  29. 4
  30. 0.27
  31. 1/1000
  32. 7
  33. 0.00066
  34. 7
  35. 16
  36. 56
  37. 410000
  38. 2
  39. 0.0096
  40. 27

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