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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 550 · 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 8.1 × 10⁻³ as a decimal. =
  2. 2.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  3. 3.4.7 × 10³ =
  4. 4.What is the value of 5⁴ × 5⁻⁵? =
  5. 5.Write 4¹⁴ ÷ 4⁹ as a single power 4ⁿ. What is n?
  6. 6.Write 5.3 × 10⁻¹ as a decimal. =
  7. 7.Write 8,90,000 in standard form as 8.9 × 10ⁿ. What is n?
  8. 8.Write 4.3 × 10⁻¹ as a decimal. =
  9. 9.Write 8.3 × 10⁻⁴ as a decimal. =
  10. 10.Write 59,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  11. 11.What is the value of 6⁻² (as a fraction)? =
  12. 12.Write 7.1 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 5⁴ × 5⁻⁴? =
  14. 14.What is the value of 9³? =
  15. 15.What is the value of 3³? =
  16. 16.Write 7.5 × 10⁻¹ as a decimal. =
  17. 17.4.3 × 10³ =
  18. 18.Write 9.5 × 10⁻² as a decimal. =
  19. 19.Write 4.5 × 10⁻⁴ as a decimal. =
  20. 20.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
  21. 21.Write (8⁶)⁶ as a single power 8ⁿ. What is n?
  22. 22.5.7 × 10⁴ =
  23. 23.What is the value of 6³? =
  24. 24.What is the value of (5/6)⁻¹? =
  25. 25.Write (2³)⁴ as a single power 2ⁿ. What is n?
  26. 26.What is the value of (4/9)⁻¹? =
  27. 27.What is the value of 8⁴? =
  28. 28.Write 1.3 × 10⁻⁴ as a decimal. =
  29. 29.1.4 × 10² =
  30. 30.3.7 × 10² =
  31. 31.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  32. 32.Write 2⁵ × 2⁶ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 2¹⁴? =
  34. 34.Write (9⁷)⁵ as a single power 9ⁿ. What is n?
  35. 35.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  36. 36.Write 86,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  37. 37.Write 6⁶ × 6² as a single power 6ⁿ. What is n?
  38. 38.Write 2.2 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 5⁶ × 5⁻⁶? =
  40. 40.8.6 × 10⁵ =

Answer key

  1. 0.0081
  2. 11
  3. 4700
  4. 1/5
  5. 5
  6. 0.53
  7. 5
  8. 0.43
  9. 0.00083
  10. 6
  11. 1/36
  12. 0.71
  13. 1
  14. 729
  15. 27
  16. 0.75
  17. 4300
  18. 0.095
  19. 0.00045
  20. 6
  21. 36
  22. 57000
  23. 216
  24. 6/5
  25. 12
  26. 9/4
  27. 4096
  28. 0.00013
  29. 140
  30. 370
  31. 4
  32. 11
  33. 16384
  34. 35
  35. 4
  36. 6
  37. 8
  38. 0.00022
  39. 1
  40. 860000

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