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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 542 · 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 3.1 × 10⁻⁴ as a decimal. =
  2. 2.Write 6¹⁶ ÷ 6⁹ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 3⁵? =
  4. 4.What is the value of 5²? =
  5. 5.Write 2.3 × 10⁻⁴ as a decimal. =
  6. 6.Write 2⁹ × 2⁶ as a single power 2ⁿ. What is n?
  7. 7.What is the value of 2⁸? =
  8. 8.What is the value of 2⁻⁹ (as a fraction)? =
  9. 9.What is the value of 10⁶ × 10⁻³? =
  10. 10.5.3 × 10³ =
  11. 11.What is the value of 10⁴ × 10⁻⁵? =
  12. 12.What is the value of 10³ × 10⁻²? =
  13. 13.What is the value of 2¹⁴? =
  14. 14.Write 6.1 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 5⁴? =
  16. 16.What is the value of 10⁴? =
  17. 17.What is the value of 9³? =
  18. 18.What is the value of 2¹⁵? =
  19. 19.Write 3,00,000 in standard form as 3 × 10ⁿ. What is n?
  20. 20.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
  21. 21.Write (6²)³ as a single power 6ⁿ. What is n?
  22. 22.Write 8.8 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 3⁶ × 3⁻³? =
  24. 24.Write 63,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  25. 25.What is the value of 6⁶? =
  26. 26.What is the value of 3² × 3⁻⁵? =
  27. 27.What is the value of 2²? =
  28. 28.What is the value of 4³? =
  29. 29.Write 8.8 × 10⁻⁴ as a decimal. =
  30. 30.Write 6.8 × 10⁻³ as a decimal. =
  31. 31.Write (5²)⁴ as a single power 5ⁿ. What is n?
  32. 32.Write 7.8 × 10⁻⁴ as a decimal. =
  33. 33.2 × 10² =
  34. 34.Write 8 × 10⁻⁴ as a decimal. =
  35. 35.Write 6.5 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 5⁴ × 5⁻¹? =
  37. 37.Write (3³)² as a single power 3ⁿ. What is n?
  38. 38.What is the value of 2⁻¹ (as a fraction)? =
  39. 39.What is the value of 2⁶? =
  40. 40.Write (4²)⁹ as a single power 4ⁿ. What is n?

Answer key

  1. 0.00031
  2. 7
  3. 243
  4. 25
  5. 0.00023
  6. 15
  7. 256
  8. 1/512
  9. 1000
  10. 5300
  11. 1/10
  12. 10
  13. 16384
  14. 0.61
  15. 625
  16. 10000
  17. 729
  18. 32768
  19. 5
  20. 12
  21. 6
  22. 0.88
  23. 27
  24. 6
  25. 46656
  26. 1/27
  27. 4
  28. 64
  29. 0.00088
  30. 0.0068
  31. 8
  32. 0.00078
  33. 200
  34. 0.0008
  35. 0.65
  36. 125
  37. 6
  38. 1/2
  39. 64
  40. 18

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