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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 189 · 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.What is the value of 10³? =
  2. 2.Write 3.6 × 10⁻³ as a decimal. =
  3. 3.What is the value of 9²? =
  4. 4.What is the value of 2³ × 2⁻⁶? =
  5. 5.What is the value of 5³? =
  6. 6.Write 7.3 × 10⁻³ as a decimal. =
  7. 7.7.5 × 10⁵ =
  8. 8.Write 4.3 × 10⁻² as a decimal. =
  9. 9.What is the value of 10⁵ × 10⁻²? =
  10. 10.Write 5⁸ × 5³ as a single power 5ⁿ. What is n?
  11. 11.What is the value of 2⁻⁵ (as a fraction)? =
  12. 12.What is the value of 3¹ × 3⁻⁶? =
  13. 13.Write 5.8 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 10²? =
  15. 15.What is the value of 3³? =
  16. 16.Write (5²)⁹ as a single power 5ⁿ. What is n?
  17. 17.What is the value of 2¹¹? =
  18. 18.Write 5.1 × 10⁻⁴ as a decimal. =
  19. 19.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  20. 20.Write 3.1 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 3⁶? =
  22. 22.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
  23. 23.Write 4.2 × 10⁻¹ as a decimal. =
  24. 24.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
  25. 25.What is the value of (1/6)⁻²? =
  26. 26.What is the value of 3²? =
  27. 27.4.7 × 10⁴ =
  28. 28.What is the value of 9⁻² (as a fraction)? =
  29. 29.Write 4.7 × 10⁻³ as a decimal. =
  30. 30.Write 9.8 × 10⁻³ as a decimal. =
  31. 31.1.4 × 10⁴ =
  32. 32.What is the value of 3⁻³ (as a fraction)? =
  33. 33.Write 9⁴ × 9⁶ as a single power 9ⁿ. What is n?
  34. 34.What is the value of (3/5)⁻¹? =
  35. 35.Write 2¹¹ ÷ 2⁷ as a single power 2ⁿ. What is n?
  36. 36.Write 9⁸ × 9⁴ as a single power 9ⁿ. What is n?
  37. 37.6.5 × 10⁷ =
  38. 38.Write 8,70,000 in standard form as 8.7 × 10ⁿ. What is n?
  39. 39.5.1 × 10² =
  40. 40.9.6 × 10² =

Answer key

  1. 1000
  2. 0.0036
  3. 81
  4. 1/8
  5. 125
  6. 0.0073
  7. 750000
  8. 0.043
  9. 1000
  10. 11
  11. 1/32
  12. 1/243
  13. 0.58
  14. 100
  15. 27
  16. 18
  17. 2048
  18. 0.00051
  19. 4
  20. 0.31
  21. 729
  22. 7
  23. 0.42
  24. 9
  25. 36
  26. 9
  27. 47000
  28. 1/81
  29. 0.0047
  30. 0.0098
  31. 14000
  32. 1/27
  33. 10
  34. 5/3
  35. 4
  36. 12
  37. 65000000
  38. 5
  39. 510
  40. 960

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