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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 668 · 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 2¹⁰? =
  2. 2.Write (3³)³ as a single power 3ⁿ. What is n?
  3. 3.What is the value of 2¹⁵? =
  4. 4.What is the value of 2³? =
  5. 5.Write 2,60,000 in standard form as 2.6 × 10ⁿ. What is n?
  6. 6.What is the value of 10⁶ × 10⁻¹? =
  7. 7.8.5 × 10² =
  8. 8.Write 7.7 × 10⁻² as a decimal. =
  9. 9.What is the value of 4⁻¹ (as a fraction)? =
  10. 10.Write 5⁵ ÷ 5³ as a single power 5ⁿ. What is n?
  11. 11.Write 4.2 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of (3/4)⁻¹? =
  13. 13.Write 8.2 × 10⁻³ as a decimal. =
  14. 14.What is the value of 3⁶ × 3⁻⁶? =
  15. 15.What is the value of 5⁻⁴ (as a fraction)? =
  16. 16.Write 9.2 × 10⁻¹ as a decimal. =
  17. 17.What is the value of (2/5)⁻¹? =
  18. 18.Write 5 × 10⁻⁴ as a decimal. =
  19. 19.Write (9³)³ as a single power 9ⁿ. What is n?
  20. 20.What is the value of 2¹⁴? =
  21. 21.Write 360 in standard form as 3.6 × 10ⁿ. What is n?
  22. 22.Write 9,900 in standard form as 9.9 × 10ⁿ. What is n?
  23. 23.What is the value of 7²? =
  24. 24.What is the value of 10⁴ × 10⁻³? =
  25. 25.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
  26. 26.What is the value of (5/9)⁻¹? =
  27. 27.Write 4⁸ × 4⁴ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 2⁵ × 2⁻¹? =
  29. 29.Write 7.2 × 10⁻³ as a decimal. =
  30. 30.What is the value of 10³ × 10⁻⁵? =
  31. 31.6.1 × 10⁷ =
  32. 32.What is the value of 3² × 3⁻²? =
  33. 33.What is the value of (1/6)⁻²? =
  34. 34.Write 1.9 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 2² × 2⁻⁶? =
  36. 36.What is the value of 3⁹? =
  37. 37.Write 4⁹ × 4⁴ as a single power 4ⁿ. What is n?
  38. 38.Write 8.8 × 10⁻⁴ as a decimal. =
  39. 39.Write 4.9 × 10⁻³ as a decimal. =
  40. 40.What is the value of 5⁵? =

Answer key

  1. 1024
  2. 9
  3. 32768
  4. 8
  5. 5
  6. 100000
  7. 850
  8. 0.077
  9. 1/4
  10. 2
  11. 0.00042
  12. 4/3
  13. 0.0082
  14. 1
  15. 1/625
  16. 0.92
  17. 5/2
  18. 0.0005
  19. 9
  20. 16384
  21. 2
  22. 3
  23. 49
  24. 10
  25. 4
  26. 9/5
  27. 12
  28. 16
  29. 0.0072
  30. 1/100
  31. 61000000
  32. 1
  33. 36
  34. 0.19
  35. 1/16
  36. 19683
  37. 13
  38. 0.00088
  39. 0.0049
  40. 3125

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