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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 673 · 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 3.5 × 10⁻³ as a decimal. =
  2. 2.5.8 × 10³ =
  3. 3.6.2 × 10⁵ =
  4. 4.Write 8.5 × 10⁻¹ as a decimal. =
  5. 5.1.5 × 10⁴ =
  6. 6.What is the value of 5⁻¹ (as a fraction)? =
  7. 7.What is the value of 10³? =
  8. 8.What is the value of 2⁴? =
  9. 9.8.2 × 10⁵ =
  10. 10.Write 4.1 × 10⁻² as a decimal. =
  11. 11.Write 6⁶ × 6⁵ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 3⁹? =
  13. 13.What is the value of 9⁵? =
  14. 14.What is the value of 5³ × 5⁻⁶? =
  15. 15.What is the value of 3³ × 3⁻³? =
  16. 16.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  17. 17.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  18. 18.Write (4⁹)⁸ as a single power 4ⁿ. What is n?
  19. 19.5.1 × 10⁴ =
  20. 20.What is the value of 10² × 10⁻⁴? =
  21. 21.What is the value of 2⁻³ (as a fraction)? =
  22. 22.Write 6⁷ ÷ 6⁴ as a single power 6ⁿ. What is n?
  23. 23.8.9 × 10⁴ =
  24. 24.Write 9.1 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 2⁻⁸ (as a fraction)? =
  26. 26.Write 75,000 in standard form as 7.5 × 10ⁿ. What is n?
  27. 27.Write 6¹⁰ ÷ 6⁸ as a single power 6ⁿ. What is n?
  28. 28.Write 9¹⁰ ÷ 9⁸ as a single power 9ⁿ. What is n?
  29. 29.What is the value of 5⁻⁴ (as a fraction)? =
  30. 30.Write (3³)⁵ as a single power 3ⁿ. What is n?
  31. 31.What is the value of (5/7)⁻¹? =
  32. 32.What is the value of 5¹ × 5⁻⁶? =
  33. 33.What is the value of (5/6)⁻²? =
  34. 34.Write 3¹⁴ ÷ 3⁸ as a single power 3ⁿ. What is n?
  35. 35.Write 4.8 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 10⁴? =
  37. 37.Write 2.5 × 10⁻³ as a decimal. =
  38. 38.Write 2⁷ × 2⁷ as a single power 2ⁿ. What is n?
  39. 39.Write 70,00,000 in standard form as 7 × 10ⁿ. What is n?
  40. 40.What is the value of 4⁵? =

Answer key

  1. 0.0035
  2. 5800
  3. 620000
  4. 0.85
  5. 15000
  6. 1/5
  7. 1000
  8. 16
  9. 820000
  10. 0.041
  11. 11
  12. 19683
  13. 59049
  14. 1/125
  15. 1
  16. 6
  17. 4
  18. 72
  19. 51000
  20. 1/100
  21. 1/8
  22. 3
  23. 89000
  24. 0.91
  25. 1/256
  26. 4
  27. 2
  28. 2
  29. 1/625
  30. 15
  31. 7/5
  32. 1/3125
  33. 36/25
  34. 6
  35. 0.00048
  36. 10000
  37. 0.0025
  38. 14
  39. 6
  40. 1024

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