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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 194 · 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 9.5 × 10⁻⁴ as a decimal. =
  2. 2.Write 4.5 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 4⁸? =
  4. 4.5.7 × 10⁷ =
  5. 5.What is the value of 5⁻¹ (as a fraction)? =
  6. 6.Write 3.3 × 10⁻¹ as a decimal. =
  7. 7.Write 9² × 9⁸ as a single power 9ⁿ. What is n?
  8. 8.Write 8.2 × 10⁻¹ as a decimal. =
  9. 9.Write 3⁹ × 3⁶ as a single power 3ⁿ. What is n?
  10. 10.What is the value of 9³? =
  11. 11.Write 7.6 × 10⁻³ as a decimal. =
  12. 12.What is the value of 3² × 3⁻³? =
  13. 13.What is the value of 5³? =
  14. 14.What is the value of 6⁴? =
  15. 15.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  16. 16.Write 9.9 × 10⁻³ as a decimal. =
  17. 17.Write 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
  18. 18.What is the value of 3¹ × 3⁻²? =
  19. 19.Write 4³ × 4⁵ as a single power 4ⁿ. What is n?
  20. 20.What is the value of (1/7)⁻¹? =
  21. 21.What is the value of 5⁵ × 5⁻⁵? =
  22. 22.Write (4³)² as a single power 4ⁿ. What is n?
  23. 23.8.4 × 10⁷ =
  24. 24.Write 7.5 × 10⁻³ as a decimal. =
  25. 25.8.3 × 10⁵ =
  26. 26.What is the value of 3⁶ × 3⁻⁵? =
  27. 27.Write 3¹⁰ ÷ 3⁷ as a single power 3ⁿ. What is n?
  28. 28.Write 2 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 3⁹? =
  30. 30.What is the value of 7²? =
  31. 31.What is the value of 7⁻³ (as a fraction)? =
  32. 32.What is the value of 8⁻¹ (as a fraction)? =
  33. 33.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
  34. 34.What is the value of (8/9)⁻¹? =
  35. 35.Write 1.2 × 10⁻³ as a decimal. =
  36. 36.What is the value of 8³? =
  37. 37.1.8 × 10⁶ =
  38. 38.Write 8.3 × 10⁻² as a decimal. =
  39. 39.What is the value of 3⁶ × 3⁻⁴? =
  40. 40.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?

Answer key

  1. 0.00095
  2. 0.45
  3. 65536
  4. 57000000
  5. 1/5
  6. 0.33
  7. 10
  8. 0.82
  9. 15
  10. 729
  11. 0.0076
  12. 1/3
  13. 125
  14. 1296
  15. 7
  16. 0.0099
  17. 6
  18. 1/3
  19. 8
  20. 7
  21. 1
  22. 6
  23. 84000000
  24. 0.0075
  25. 830000
  26. 3
  27. 3
  28. 0.2
  29. 19683
  30. 49
  31. 1/343
  32. 1/8
  33. 9
  34. 9/8
  35. 0.0012
  36. 512
  37. 1800000
  38. 0.083
  39. 9
  40. 9

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