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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 936 · 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 2⁻¹ (as a fraction)? =
  2. 2.What is the value of 3⁴ × 3⁻⁴? =
  3. 3.What is the value of 5²? =
  4. 4.Write 7¹² ÷ 7⁸ as a single power 7ⁿ. What is n?
  5. 5.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
  6. 6.What is the value of 9⁴? =
  7. 7.Write 9.6 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 9⁻³ (as a fraction)? =
  9. 9.6.1 × 10⁴ =
  10. 10.Write (7²)⁶ as a single power 7ⁿ. What is n?
  11. 11.What is the value of 2⁴? =
  12. 12.What is the value of 2⁶ × 2⁻²? =
  13. 13.What is the value of 3⁷? =
  14. 14.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 3²? =
  16. 16.What is the value of 10³? =
  17. 17.Write 690 in standard form as 6.9 × 10ⁿ. What is n?
  18. 18.Write 95,000 in standard form as 9.5 × 10ⁿ. What is n?
  19. 19.Write 2 × 10⁻¹ as a decimal. =
  20. 20.6.6 × 10⁶ =
  21. 21.What is the value of 7⁻³ (as a fraction)? =
  22. 22.9.6 × 10⁵ =
  23. 23.What is the value of 3³ × 3⁻⁴? =
  24. 24.Write 7⁷ × 7⁵ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 2³? =
  26. 26.Write 7² × 7³ as a single power 7ⁿ. What is n?
  27. 27.Write 4.6 × 10⁻³ as a decimal. =
  28. 28.Write 8.7 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of 5⁷? =
  30. 30.What is the value of 3¹ × 3⁻⁵? =
  31. 31.9.9 × 10⁷ =
  32. 32.Write (4³)⁷ as a single power 4ⁿ. What is n?
  33. 33.What is the value of 2⁻² (as a fraction)? =
  34. 34.What is the value of 2¹¹? =
  35. 35.What is the value of (5/6)⁻¹? =
  36. 36.What is the value of (3/5)⁻¹? =
  37. 37.Write 6.4 × 10⁻⁴ as a decimal. =
  38. 38.Write 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
  39. 39.6 × 10² =
  40. 40.What is the value of 2⁻⁴ (as a fraction)? =

Answer key

  1. 1/2
  2. 1
  3. 25
  4. 4
  5. 4
  6. 6561
  7. 0.00096
  8. 1/729
  9. 61000
  10. 12
  11. 16
  12. 16
  13. 2187
  14. 3
  15. 9
  16. 1000
  17. 2
  18. 4
  19. 0.2
  20. 6600000
  21. 1/343
  22. 960000
  23. 1/3
  24. 12
  25. 8
  26. 5
  27. 0.0046
  28. 0.00087
  29. 78125
  30. 1/81
  31. 99000000
  32. 21
  33. 1/4
  34. 2048
  35. 6/5
  36. 5/3
  37. 0.00064
  38. 6
  39. 600
  40. 1/16

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