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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 388 · 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 2.5 × 10⁻¹ as a decimal. =
  2. 2.What is the value of (5/8)⁻¹? =
  3. 3.What is the value of 5⁻⁴ (as a fraction)? =
  4. 4.What is the value of 7⁻¹ (as a fraction)? =
  5. 5.4.9 × 10⁵ =
  6. 6.What is the value of 4⁵? =
  7. 7.What is the value of 2⁴ × 2⁻³? =
  8. 8.Write 7 × 10⁻¹ as a decimal. =
  9. 9.Write 2² × 2² as a single power 2ⁿ. What is n?
  10. 10.Write 6 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 2³ × 2⁻¹? =
  12. 12.What is the value of 5⁷? =
  13. 13.What is the value of 8⁴? =
  14. 14.What is the value of 2¹⁴? =
  15. 15.Write 7 × 10⁻² as a decimal. =
  16. 16.Write 2.9 × 10⁻³ as a decimal. =
  17. 17.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  18. 18.What is the value of 3⁻² (as a fraction)? =
  19. 19.What is the value of (2/7)⁻¹? =
  20. 20.Write 3³ × 3⁸ as a single power 3ⁿ. What is n?
  21. 21.What is the value of 4⁻³ (as a fraction)? =
  22. 22.What is the value of 9²? =
  23. 23.What is the value of 10³ × 10⁻³? =
  24. 24.What is the value of 3¹ × 3⁻⁴? =
  25. 25.Write 8.5 × 10⁻³ as a decimal. =
  26. 26.What is the value of 8⁵? =
  27. 27.What is the value of 6²? =
  28. 28.What is the value of 2¹¹? =
  29. 29.Write 9,10,00,000 in standard form as 9.1 × 10ⁿ. What is n?
  30. 30.What is the value of 3⁹? =
  31. 31.What is the value of 10¹ × 10⁻¹? =
  32. 32.What is the value of 5⁶ × 5⁻⁶? =
  33. 33.What is the value of 3⁷? =
  34. 34.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  35. 35.Write 6.8 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 5³ × 5⁻²? =
  37. 37.What is the value of 10⁴ × 10⁻²? =
  38. 38.Write (7³)⁹ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 3⁶ × 3⁻³? =
  40. 40.What is the value of 2¹⁵? =

Answer key

  1. 0.25
  2. 8/5
  3. 1/625
  4. 1/7
  5. 490000
  6. 1024
  7. 2
  8. 0.7
  9. 4
  10. 0.0006
  11. 4
  12. 78125
  13. 4096
  14. 16384
  15. 0.07
  16. 0.0029
  17. 6
  18. 1/9
  19. 7/2
  20. 11
  21. 1/64
  22. 81
  23. 1
  24. 1/27
  25. 0.0085
  26. 32768
  27. 36
  28. 2048
  29. 7
  30. 19683
  31. 1
  32. 1
  33. 2187
  34. 2
  35. 0.68
  36. 5
  37. 100
  38. 27
  39. 27
  40. 32768

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