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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 715 · 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.Write 9.2 × 10⁻⁴ as a decimal. =
  2. 2.Write 9.4 × 10⁻⁴ as a decimal. =
  3. 3.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
  4. 4.9.5 × 10⁶ =
  5. 5.What is the value of 3⁹? =
  6. 6.Write 9.3 × 10⁻² as a decimal. =
  7. 7.What is the value of 2⁵ × 2⁻⁵? =
  8. 8.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  9. 9.Write 9.8 × 10⁻² as a decimal. =
  10. 10.What is the value of 2⁻⁹ (as a fraction)? =
  11. 11.What is the value of 10⁶ × 10⁻³? =
  12. 12.What is the value of 2⁸? =
  13. 13.What is the value of 2¹⁵? =
  14. 14.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  15. 15.Write 5⁹ × 5⁸ as a single power 5ⁿ. What is n?
  16. 16.What is the value of 10³ × 10⁻²? =
  17. 17.What is the value of 3⁴ × 3⁻²? =
  18. 18.What is the value of 3⁻⁶ (as a fraction)? =
  19. 19.What is the value of 10⁻² (as a fraction)? =
  20. 20.Write 7.5 × 10⁻³ as a decimal. =
  21. 21.What is the value of 2⁻⁸ (as a fraction)? =
  22. 22.Write 3,60,000 in standard form as 3.6 × 10ⁿ. What is n?
  23. 23.What is the value of 2³ × 2⁻⁴? =
  24. 24.Write 2.2 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 7⁻¹ (as a fraction)? =
  26. 26.Write 9.3 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 5⁶ × 5⁻³? =
  28. 28.4.5 × 10⁷ =
  29. 29.Write 4 × 10⁻¹ as a decimal. =
  30. 30.Write 3.4 × 10⁻² as a decimal. =
  31. 31.What is the value of 2¹ × 2⁻⁴? =
  32. 32.What is the value of 2⁵? =
  33. 33.What is the value of 2⁶? =
  34. 34.4.5 × 10² =
  35. 35.Write 9.7 × 10⁻² as a decimal. =
  36. 36.What is the value of 3⁴ × 3⁻³? =
  37. 37.What is the value of 2⁻¹ (as a fraction)? =
  38. 38.Write 4,700 in standard form as 4.7 × 10ⁿ. What is n?
  39. 39.What is the value of 7⁴? =
  40. 40.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?

Answer key

  1. 0.00092
  2. 0.00094
  3. 12
  4. 9500000
  5. 19683
  6. 0.093
  7. 1
  8. 5
  9. 0.098
  10. 1/512
  11. 1000
  12. 256
  13. 32768
  14. 13
  15. 17
  16. 10
  17. 9
  18. 1/729
  19. 1/100
  20. 0.0075
  21. 1/256
  22. 5
  23. 1/2
  24. 0.00022
  25. 1/7
  26. 0.00093
  27. 125
  28. 45000000
  29. 0.4
  30. 0.034
  31. 1/8
  32. 32
  33. 64
  34. 450
  35. 0.097
  36. 3
  37. 1/2
  38. 3
  39. 2401
  40. 4

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