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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 963 · 40 sums
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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 3⁴ × 3⁻²? =
  2. 2.Write 4.8 × 10⁻³ as a decimal. =
  3. 3.Write 7³ × 7² as a single power 7ⁿ. What is n?
  4. 4.Write 8⁴ × 8⁹ as a single power 8ⁿ. What is n?
  5. 5.What is the value of 7⁴? =
  6. 6.What is the value of 2¹³? =
  7. 7.Write 5¹³ ÷ 5⁴ as a single power 5ⁿ. What is n?
  8. 8.What is the value of 4³? =
  9. 9.Write 4.7 × 10⁻¹ as a decimal. =
  10. 10.4.1 × 10⁵ =
  11. 11.Write (3⁸)⁶ as a single power 3ⁿ. What is n?
  12. 12.Write 6⁹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  13. 13.Write 2.9 × 10⁻¹ as a decimal. =
  14. 14.Write 8.5 × 10⁻² as a decimal. =
  15. 15.What is the value of 10³ × 10⁻⁴? =
  16. 16.Write (9³)⁴ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 2¹⁶? =
  18. 18.Write 4,400 in standard form as 4.4 × 10ⁿ. What is n?
  19. 19.What is the value of 5² × 5⁻⁴? =
  20. 20.Write 5.5 × 10⁻³ as a decimal. =
  21. 21.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
  22. 22.What is the value of 9⁻² (as a fraction)? =
  23. 23.What is the value of 2⁻⁹ (as a fraction)? =
  24. 24.Write 5⁵ × 5² as a single power 5ⁿ. What is n?
  25. 25.What is the value of 10⁵ × 10⁻¹? =
  26. 26.Write 8.8 × 10⁻⁴ as a decimal. =
  27. 27.3.5 × 10² =
  28. 28.What is the value of 2⁻³ (as a fraction)? =
  29. 29.What is the value of 2⁵ × 2⁻¹? =
  30. 30.Write (9⁴)³ as a single power 9ⁿ. What is n?
  31. 31.What is the value of 3⁻⁵ (as a fraction)? =
  32. 32.Write 7⁸ ÷ 7² 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 7⁻² (as a fraction)? =
  35. 35.What is the value of 6⁶? =
  36. 36.What is the value of 6²? =
  37. 37.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
  38. 38.What is the value of 2⁸? =
  39. 39.What is the value of 9⁵? =
  40. 40.6.1 × 10³ =

Answer key

  1. 9
  2. 0.0048
  3. 5
  4. 13
  5. 2401
  6. 8192
  7. 9
  8. 64
  9. 0.47
  10. 410000
  11. 48
  12. 4
  13. 0.29
  14. 0.085
  15. 1/10
  16. 12
  17. 65536
  18. 3
  19. 1/25
  20. 0.0055
  21. 3
  22. 1/81
  23. 1/512
  24. 7
  25. 10000
  26. 0.00088
  27. 350
  28. 1/8
  29. 16
  30. 12
  31. 1/243
  32. 6
  33. 0.027
  34. 1/49
  35. 46656
  36. 36
  37. 5
  38. 256
  39. 59049
  40. 6100

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