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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 625 · 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 5.8 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 3²? =
  3. 3.Write 3.6 × 10⁻³ as a decimal. =
  4. 4.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  5. 5.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 2⁴ × 2⁻²? =
  7. 7.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  8. 8.What is the value of 7⁻² (as a fraction)? =
  9. 9.What is the value of (5/7)⁻¹? =
  10. 10.Write 9.7 × 10⁻¹ as a decimal. =
  11. 11.Write 2⁵ ÷ 2³ as a single power 2ⁿ. What is n?
  12. 12.Write 9⁷ ÷ 9³ as a single power 9ⁿ. What is n?
  13. 13.Write 9.8 × 10⁻³ as a decimal. =
  14. 14.8.2 × 10⁶ =
  15. 15.Write 8.6 × 10⁻³ as a decimal. =
  16. 16.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 10³ × 10⁻⁴? =
  18. 18.What is the value of (5/6)⁻¹? =
  19. 19.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 10³ × 10⁻⁶? =
  21. 21.What is the value of 5⁵ × 5⁻⁴? =
  22. 22.What is the value of 5⁶ × 5⁻²? =
  23. 23.What is the value of 2²? =
  24. 24.What is the value of 2⁴ × 2⁻⁴? =
  25. 25.What is the value of 9⁴? =
  26. 26.Write 7,70,000 in standard form as 7.7 × 10ⁿ. What is n?
  27. 27.What is the value of 4³? =
  28. 28.Write (3³)² as a single power 3ⁿ. What is n?
  29. 29.What is the value of 5⁴ × 5⁻²? =
  30. 30.What is the value of 5³? =
  31. 31.Write 5¹⁴ ÷ 5⁹ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 5⁻² (as a fraction)? =
  33. 33.What is the value of 10² × 10⁻⁵? =
  34. 34.Write 27,000 in standard form as 2.7 × 10ⁿ. What is n?
  35. 35.What is the value of 4⁶? =
  36. 36.Write (4⁵)⁸ as a single power 4ⁿ. What is n?
  37. 37.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
  38. 38.What is the value of 3⁵ × 3⁻³? =
  39. 39.Write 7.2 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 10³? =

Answer key

  1. 0.58
  2. 9
  3. 0.0036
  4. 13
  5. 8
  6. 4
  7. 4
  8. 1/49
  9. 7/5
  10. 0.97
  11. 2
  12. 4
  13. 0.0098
  14. 8200000
  15. 0.0086
  16. 11
  17. 1/10
  18. 6/5
  19. 12
  20. 1/1000
  21. 5
  22. 625
  23. 4
  24. 1
  25. 6561
  26. 5
  27. 64
  28. 6
  29. 25
  30. 125
  31. 5
  32. 1/25
  33. 1/1000
  34. 4
  35. 4096
  36. 40
  37. 6
  38. 9
  39. 0.72
  40. 1000

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