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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 122 · 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. 1.7.5 × 10⁷ =
  2. 2.What is the value of 6⁻³ (as a fraction)? =
  3. 3.Write (3⁴)³ as a single power 3ⁿ. What is n?
  4. 4.Write 4¹⁴ ÷ 4⁷ as a single power 4ⁿ. What is n?
  5. 5.What is the value of (1/3)⁻¹? =
  6. 6.Write 28,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  7. 7.2.7 × 10² =
  8. 8.Write 4¹⁰ ÷ 4⁷ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2²? =
  10. 10.Write (2⁸)⁹ as a single power 2ⁿ. What is n?
  11. 11.What is the value of (4/5)⁻¹? =
  12. 12.What is the value of 5¹ × 5⁻⁴? =
  13. 13.Write 4.5 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 2² × 2⁻⁶? =
  15. 15.8.8 × 10⁵ =
  16. 16.Write 5.8 × 10⁻¹ as a decimal. =
  17. 17.Write 1.3 × 10⁻² as a decimal. =
  18. 18.4.5 × 10⁵ =
  19. 19.Write 830 in standard form as 8.3 × 10ⁿ. What is n?
  20. 20.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  21. 21.Write 3.6 × 10⁻¹ as a decimal. =
  22. 22.Write 6² × 6⁸ as a single power 6ⁿ. What is n?
  23. 23.Write 4⁹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  24. 24.3.2 × 10⁵ =
  25. 25.Write 7⁸ × 7⁶ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 3⁵ × 3⁻⁵? =
  27. 27.Write 3⁹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 6⁻² (as a fraction)? =
  29. 29.Write 3 × 10⁻¹ as a decimal. =
  30. 30.Write 4 × 10⁻² as a decimal. =
  31. 31.What is the value of 2⁹? =
  32. 32.9.7 × 10⁷ =
  33. 33.What is the value of 2⁻⁴ (as a fraction)? =
  34. 34.What is the value of 2³? =
  35. 35.Write 6.6 × 10⁻¹ as a decimal. =
  36. 36.Write 8.9 × 10⁻³ as a decimal. =
  37. 37.What is the value of (1/3)⁻²? =
  38. 38.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  39. 39.7.3 × 10³ =
  40. 40.What is the value of 9⁴? =

Answer key

  1. 75000000
  2. 1/216
  3. 12
  4. 7
  5. 3
  6. 6
  7. 270
  8. 3
  9. 4
  10. 72
  11. 5/4
  12. 1/125
  13. 0.45
  14. 1/16
  15. 880000
  16. 0.58
  17. 0.013
  18. 450000
  19. 2
  20. 4
  21. 0.36
  22. 10
  23. 4
  24. 320000
  25. 14
  26. 1
  27. 2
  28. 1/36
  29. 0.3
  30. 0.04
  31. 512
  32. 97000000
  33. 1/16
  34. 8
  35. 0.66
  36. 0.0089
  37. 9
  38. 9
  39. 7300
  40. 6561

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