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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 47 · 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 (8⁶)⁹ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 2⁹? =
  3. 3.Write 900 in standard form as 9 × 10ⁿ. What is n?
  4. 4.Write 6.3 × 10⁻⁴ as a decimal. =
  5. 5.Write 1.5 × 10⁻¹ as a decimal. =
  6. 6.Write 6.9 × 10⁻² as a decimal. =
  7. 7.Write 6.9 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 9²? =
  9. 9.What is the value of 3⁶? =
  10. 10.Write (3²)⁶ as a single power 3ⁿ. What is n?
  11. 11.What is the value of 2³ × 2⁻⁵? =
  12. 12.Write 2 × 10⁻¹ as a decimal. =
  13. 13.2.3 × 10⁶ =
  14. 14.What is the value of 8⁻² (as a fraction)? =
  15. 15.What is the value of 2²? =
  16. 16.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  17. 17.Write 9.3 × 10⁻⁴ as a decimal. =
  18. 18.Write (4⁶)⁴ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 3²? =
  20. 20.What is the value of 3⁻¹ (as a fraction)? =
  21. 21.Write (6⁵)³ as a single power 6ⁿ. What is n?
  22. 22.What is the value of 5¹ × 5⁻²? =
  23. 23.What is the value of 2⁻³ (as a fraction)? =
  24. 24.2.8 × 10⁶ =
  25. 25.What is the value of 2³? =
  26. 26.5.3 × 10⁶ =
  27. 27.What is the value of 2⁻⁸ (as a fraction)? =
  28. 28.Write 8⁶ ÷ 8⁴ as a single power 8ⁿ. What is n?
  29. 29.Write 71,000 in standard form as 7.1 × 10ⁿ. What is n?
  30. 30.Write (8⁹)² as a single power 8ⁿ. What is n?
  31. 31.Write 8.7 × 10⁻¹ as a decimal. =
  32. 32.Write 5.3 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 3⁸? =
  34. 34.Write 3.2 × 10⁻¹ as a decimal. =
  35. 35.What is the value of (3/5)⁻¹? =
  36. 36.What is the value of 2⁻⁷ (as a fraction)? =
  37. 37.4.3 × 10⁶ =
  38. 38.What is the value of 3² × 3⁻¹? =
  39. 39.Write 22,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  40. 40.Write 6.3 × 10⁻² as a decimal. =

Answer key

  1. 54
  2. 512
  3. 2
  4. 0.00063
  5. 0.15
  6. 0.069
  7. 0.00069
  8. 81
  9. 729
  10. 12
  11. 1/4
  12. 0.2
  13. 2300000
  14. 1/64
  15. 4
  16. 2
  17. 0.00093
  18. 24
  19. 9
  20. 1/3
  21. 15
  22. 1/5
  23. 1/8
  24. 2800000
  25. 8
  26. 5300000
  27. 1/256
  28. 2
  29. 4
  30. 18
  31. 0.87
  32. 0.53
  33. 6561
  34. 0.32
  35. 5/3
  36. 1/128
  37. 4300000
  38. 3
  39. 6
  40. 0.063

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