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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 449 · 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 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
  2. 2.What is the value of 9⁴? =
  3. 3.What is the value of 2¹²? =
  4. 4.Write 4.6 × 10⁻³ as a decimal. =
  5. 5.Write 2.6 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 9³? =
  7. 7.What is the value of 2⁻¹ (as a fraction)? =
  8. 8.What is the value of 2⁴ × 2⁻¹? =
  9. 9.Write 4⁴ × 4³ as a single power 4ⁿ. What is n?
  10. 10.Write 3⁴ × 3⁷ as a single power 3ⁿ. What is n?
  11. 11.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 6³? =
  13. 13.Write 2.4 × 10⁻³ as a decimal. =
  14. 14.What is the value of 6⁻³ (as a fraction)? =
  15. 15.What is the value of 3⁹? =
  16. 16.Write 8.9 × 10⁻¹ as a decimal. =
  17. 17.Write 6¹⁰ ÷ 6⁷ as a single power 6ⁿ. What is n?
  18. 18.Write (7⁷)⁷ as a single power 7ⁿ. What is n?
  19. 19.What is the value of 3⁻³ (as a fraction)? =
  20. 20.What is the value of 2¹⁶? =
  21. 21.Write 3⁹ × 3⁸ as a single power 3ⁿ. What is n?
  22. 22.Write (8⁹)³ as a single power 8ⁿ. What is n?
  23. 23.Write 2.1 × 10⁻³ as a decimal. =
  24. 24.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  25. 25.What is the value of 5⁴? =
  26. 26.What is the value of 2² × 2⁻³? =
  27. 27.What is the value of 5¹ × 5⁻⁶? =
  28. 28.What is the value of 10² × 10⁻¹? =
  29. 29.What is the value of 2¹ × 2⁻¹? =
  30. 30.What is the value of (3/8)⁻¹? =
  31. 31.Write 4.5 × 10⁻³ as a decimal. =
  32. 32.4.4 × 10⁵ =
  33. 33.Write 1.4 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of 5¹ × 5⁻¹? =
  35. 35.Write 6⁴ × 6⁶ as a single power 6ⁿ. What is n?
  36. 36.Write (6⁸)² as a single power 6ⁿ. What is n?
  37. 37.What is the value of 10² × 10⁻²? =
  38. 38.Write 5.6 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 7⁴? =
  40. 40.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?

Answer key

  1. 7
  2. 6561
  3. 4096
  4. 0.0046
  5. 0.00026
  6. 729
  7. 1/2
  8. 8
  9. 7
  10. 11
  11. 5
  12. 216
  13. 0.0024
  14. 1/216
  15. 19683
  16. 0.89
  17. 3
  18. 49
  19. 1/27
  20. 65536
  21. 17
  22. 27
  23. 0.0021
  24. 3
  25. 625
  26. 1/2
  27. 1/3125
  28. 10
  29. 1
  30. 8/3
  31. 0.0045
  32. 440000
  33. 0.00014
  34. 1
  35. 10
  36. 16
  37. 1
  38. 0.56
  39. 2401
  40. 15

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