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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 229 · 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 7⁴? =
  2. 2.Write 7.4 × 10⁻¹ as a decimal. =
  3. 3.Write 6.8 × 10⁻² as a decimal. =
  4. 4.What is the value of 2¹¹? =
  5. 5.Write 6.3 × 10⁻¹ as a decimal. =
  6. 6.Write 3.3 × 10⁻¹ as a decimal. =
  7. 7.Write 7.3 × 10⁻¹ as a decimal. =
  8. 8.Write 4.1 × 10⁻² as a decimal. =
  9. 9.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  10. 10.What is the value of 2⁶ × 2⁻⁵? =
  11. 11.What is the value of 9⁴? =
  12. 12.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  13. 13.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  14. 14.What is the value of 3³ × 3⁻⁶? =
  15. 15.What is the value of 2³ × 2⁻³? =
  16. 16.Write 4.8 × 10⁻¹ as a decimal. =
  17. 17.Write 4.4 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 2⁵ × 2⁻²? =
  19. 19.Write 6.4 × 10⁻⁴ as a decimal. =
  20. 20.Write 5.5 × 10⁻² as a decimal. =
  21. 21.What is the value of 3⁵ × 3⁻⁴? =
  22. 22.Write (4²)² as a single power 4ⁿ. What is n?
  23. 23.What is the value of 2⁶ × 2⁻¹? =
  24. 24.What is the value of 3³? =
  25. 25.What is the value of 2¹⁶? =
  26. 26.What is the value of 3¹ × 3⁻²? =
  27. 27.What is the value of 10³? =
  28. 28.What is the value of 3¹ × 3⁻¹? =
  29. 29.What is the value of 4⁸? =
  30. 30.4.3 × 10² =
  31. 31.What is the value of 5⁷? =
  32. 32.Write 3.5 × 10⁻³ as a decimal. =
  33. 33.Write 9⁷ ÷ 9⁴ as a single power 9ⁿ. What is n?
  34. 34.What is the value of 2¹⁴? =
  35. 35.Write 4.1 × 10⁻⁴ as a decimal. =
  36. 36.Write 2 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 10⁶ × 10⁻¹? =
  38. 38.What is the value of (5/8)⁻¹? =
  39. 39.What is the value of 7⁻¹ (as a fraction)? =
  40. 40.What is the value of 3⁻³ (as a fraction)? =

Answer key

  1. 2401
  2. 0.74
  3. 0.068
  4. 2048
  5. 0.63
  6. 0.33
  7. 0.73
  8. 0.041
  9. 9
  10. 2
  11. 6561
  12. 17
  13. 3
  14. 1/27
  15. 1
  16. 0.48
  17. 0.00044
  18. 8
  19. 0.00064
  20. 0.055
  21. 3
  22. 4
  23. 32
  24. 27
  25. 65536
  26. 1/3
  27. 1000
  28. 1
  29. 65536
  30. 430
  31. 78125
  32. 0.0035
  33. 3
  34. 16384
  35. 0.00041
  36. 0.2
  37. 100000
  38. 8/5
  39. 1/7
  40. 1/27

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