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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 904 · 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 4⁻³ (as a fraction)? =
  2. 2.Write (9²)² as a single power 9ⁿ. What is n?
  3. 3.Write 2.9 × 10⁻² as a decimal. =
  4. 4.Write 4⁶ ÷ 4⁴ as a single power 4ⁿ. What is n?
  5. 5.What is the value of 8⁴? =
  6. 6.What is the value of 2¹³? =
  7. 7.Write 2¹⁰ ÷ 2⁶ as a single power 2ⁿ. What is n?
  8. 8.Write (2²)⁵ as a single power 2ⁿ. What is n?
  9. 9.Write 6¹⁸ ÷ 6⁹ as a single power 6ⁿ. What is n?
  10. 10.What is the value of 4⁴? =
  11. 11.What is the value of (1/2)⁻¹? =
  12. 12.Write 3.1 × 10⁻⁴ as a decimal. =
  13. 13.Write 7¹¹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  14. 14.What is the value of 3⁵ × 3⁻²? =
  15. 15.Write (2²)⁶ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 5⁻³ (as a fraction)? =
  17. 17.Write 7¹⁵ ÷ 7⁹ as a single power 7ⁿ. What is n?
  18. 18.What is the value of 4⁷? =
  19. 19.Write 6.8 × 10⁻³ as a decimal. =
  20. 20.Write 9¹⁴ ÷ 9⁵ as a single power 9ⁿ. What is n?
  21. 21.3.3 × 10⁷ =
  22. 22.9.1 × 10⁵ =
  23. 23.What is the value of (3/8)⁻¹? =
  24. 24.What is the value of 3³? =
  25. 25.What is the value of 5⁴ × 5⁻³? =
  26. 26.Write 3³ × 3² as a single power 3ⁿ. What is n?
  27. 27.What is the value of 3⁶ × 3⁻²? =
  28. 28.What is the value of 8²? =
  29. 29.What is the value of 2⁴? =
  30. 30.What is the value of 2⁹? =
  31. 31.Write 7.1 × 10⁻² as a decimal. =
  32. 32.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  33. 33.Write 2.7 × 10⁻² as a decimal. =
  34. 34.What is the value of 2¹¹? =
  35. 35.Write 4.9 × 10⁻³ as a decimal. =
  36. 36.Write 3,20,000 in standard form as 3.2 × 10ⁿ. What is n?
  37. 37.What is the value of 5⁴? =
  38. 38.What is the value of (4/7)⁻²? =
  39. 39.What is the value of 3⁸? =
  40. 40.Write 3¹³ ÷ 3⁹ as a single power 3ⁿ. What is n?

Answer key

  1. 1/64
  2. 4
  3. 0.029
  4. 2
  5. 4096
  6. 8192
  7. 4
  8. 10
  9. 9
  10. 256
  11. 2
  12. 0.00031
  13. 5
  14. 27
  15. 12
  16. 1/125
  17. 6
  18. 16384
  19. 0.0068
  20. 9
  21. 33000000
  22. 910000
  23. 8/3
  24. 27
  25. 5
  26. 5
  27. 81
  28. 64
  29. 16
  30. 512
  31. 0.071
  32. 4
  33. 0.027
  34. 2048
  35. 0.0049
  36. 5
  37. 625
  38. 49/16
  39. 6561
  40. 4

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