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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 876 · 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 4⁵? =
  2. 2.2.1 × 10⁵ =
  3. 3.What is the value of 7²? =
  4. 4.What is the value of 5² × 5⁻¹? =
  5. 5.What is the value of 2² × 2⁻⁵? =
  6. 6.What is the value of 9⁴? =
  7. 7.Write 7⁵ × 7⁴ as a single power 7ⁿ. What is n?
  8. 8.Write 7.3 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 4⁻⁴ (as a fraction)? =
  10. 10.What is the value of 2⁻² (as a fraction)? =
  11. 11.Write 77,000 in standard form as 7.7 × 10ⁿ. What is n?
  12. 12.Write 2⁷ ÷ 2² as a single power 2ⁿ. What is n?
  13. 13.Write 1.5 × 10⁻³ as a decimal. =
  14. 14.Write 6¹³ ÷ 6⁶ as a single power 6ⁿ. What is n?
  15. 15.Write 5.5 × 10⁻³ as a decimal. =
  16. 16.What is the value of 2⁹? =
  17. 17.Write 9.4 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 3⁹? =
  19. 19.Write 6.5 × 10⁻⁴ as a decimal. =
  20. 20.Write 6 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 4⁻¹ (as a fraction)? =
  22. 22.Write 5.5 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 2³ × 2⁻⁴? =
  24. 24.Write 1,50,000 in standard form as 1.5 × 10ⁿ. What is n?
  25. 25.Write 2.5 × 10⁻² as a decimal. =
  26. 26.What is the value of 6²? =
  27. 27.Write 1.2 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 3¹ × 3⁻³? =
  29. 29.What is the value of 4³? =
  30. 30.What is the value of 2¹ × 2⁻⁴? =
  31. 31.What is the value of (1/5)⁻¹? =
  32. 32.Write 61,00,000 in standard form as 6.1 × 10ⁿ. What is n?
  33. 33.What is the value of (2/7)⁻¹? =
  34. 34.What is the value of 5² × 5⁻³? =
  35. 35.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  36. 36.What is the value of 5² × 5⁻⁶? =
  37. 37.Write 3,00,00,000 in standard form as 3 × 10ⁿ. What is n?
  38. 38.What is the value of 4⁶? =
  39. 39.What is the value of 5⁵? =
  40. 40.Write 1.6 × 10⁻² as a decimal. =

Answer key

  1. 1024
  2. 210000
  3. 49
  4. 5
  5. 1/8
  6. 6561
  7. 9
  8. 0.73
  9. 1/256
  10. 1/4
  11. 4
  12. 5
  13. 0.0015
  14. 7
  15. 0.0055
  16. 512
  17. 0.94
  18. 19683
  19. 0.00065
  20. 0.0006
  21. 1/4
  22. 0.55
  23. 1/2
  24. 5
  25. 0.025
  26. 36
  27. 0.12
  28. 1/9
  29. 64
  30. 1/8
  31. 5
  32. 6
  33. 7/2
  34. 1/5
  35. 2
  36. 1/625
  37. 7
  38. 4096
  39. 3125
  40. 0.016

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