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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 515 · 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 470 in standard form as 4.7 × 10ⁿ. What is n?
  2. 2.What is the value of 10⁵? =
  3. 3.What is the value of 6⁶? =
  4. 4.Write 8.9 × 10⁻³ as a decimal. =
  5. 5.Write 4,20,000 in standard form as 4.2 × 10ⁿ. What is n?
  6. 6.What is the value of 6⁵? =
  7. 7.Write (3⁷)² as a single power 3ⁿ. What is n?
  8. 8.What is the value of 9⁵? =
  9. 9.Write 4.5 × 10⁻³ as a decimal. =
  10. 10.1.6 × 10⁷ =
  11. 11.What is the value of 3³? =
  12. 12.Write 2² × 2⁶ as a single power 2ⁿ. What is n?
  13. 13.Write 9⁴ × 9³ as a single power 9ⁿ. What is n?
  14. 14.Write 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
  15. 15.Write 2.4 × 10⁻¹ as a decimal. =
  16. 16.Write 3.5 × 10⁻² as a decimal. =
  17. 17.Write 7⁸ × 7⁹ as a single power 7ⁿ. What is n?
  18. 18.Write 5.2 × 10⁻¹ as a decimal. =
  19. 19.Write 9⁷ × 9⁶ as a single power 9ⁿ. What is n?
  20. 20.Write 7² × 7⁴ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 2³ × 2⁻¹? =
  22. 22.What is the value of 2³? =
  23. 23.Write 8¹⁴ ÷ 8⁵ as a single power 8ⁿ. What is n?
  24. 24.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  25. 25.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 2⁹? =
  27. 27.Write 2.5 × 10⁻¹ as a decimal. =
  28. 28.Write 3¹¹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  29. 29.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 4⁷? =
  31. 31.Write 3¹¹ ÷ 3⁹ as a single power 3ⁿ. What is n?
  32. 32.What is the value of (6/7)⁻²? =
  33. 33.Write 1.7 × 10⁻⁴ as a decimal. =
  34. 34.5.6 × 10² =
  35. 35.What is the value of 4³? =
  36. 36.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  37. 37.What is the value of 2⁴ × 2⁻³? =
  38. 38.What is the value of (3/4)⁻²? =
  39. 39.What is the value of 8⁻² (as a fraction)? =
  40. 40.What is the value of 3⁻¹ (as a fraction)? =

Answer key

  1. 2
  2. 100000
  3. 46656
  4. 0.0089
  5. 5
  6. 7776
  7. 14
  8. 59049
  9. 0.0045
  10. 16000000
  11. 27
  12. 8
  13. 7
  14. 10
  15. 0.24
  16. 0.035
  17. 17
  18. 0.52
  19. 13
  20. 6
  21. 4
  22. 8
  23. 9
  24. 10
  25. 6
  26. 512
  27. 0.25
  28. 4
  29. 6
  30. 16384
  31. 2
  32. 49/36
  33. 0.00017
  34. 560
  35. 64
  36. 5
  37. 2
  38. 16/9
  39. 1/64
  40. 1/3

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