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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 701 · 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 2⁻⁴ (as a fraction)? =
  2. 2.What is the value of 5² × 5⁻⁴? =
  3. 3.What is the value of (3/5)⁻²? =
  4. 4.What is the value of 2⁵ × 2⁻³? =
  5. 5.What is the value of 7⁴? =
  6. 6.What is the value of 6⁻³ (as a fraction)? =
  7. 7.Write (2⁸)² as a single power 2ⁿ. What is n?
  8. 8.What is the value of 3⁻⁵ (as a fraction)? =
  9. 9.Write 5.9 × 10⁻² as a decimal. =
  10. 10.What is the value of 2⁴ × 2⁻¹? =
  11. 11.Write (4²)³ as a single power 4ⁿ. What is n?
  12. 12.Write 8¹² ÷ 8⁵ as a single power 8ⁿ. What is n?
  13. 13.Write 1.1 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 3⁻¹ (as a fraction)? =
  15. 15.What is the value of 8⁻¹ (as a fraction)? =
  16. 16.What is the value of 3⁵? =
  17. 17.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  18. 18.Write 56,00,000 in standard form as 5.6 × 10ⁿ. What is n?
  19. 19.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 10³? =
  21. 21.What is the value of 2² × 2⁻¹? =
  22. 22.What is the value of 3⁴ × 3⁻⁴? =
  23. 23.Write 7.1 × 10⁻³ as a decimal. =
  24. 24.Write (2³)⁸ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 6⁵? =
  26. 26.Write 9,00,000 in standard form as 9 × 10ⁿ. What is n?
  27. 27.Write 620 in standard form as 6.2 × 10ⁿ. What is n?
  28. 28.What is the value of 10⁻¹ (as a fraction)? =
  29. 29.What is the value of 3⁻² (as a fraction)? =
  30. 30.What is the value of 2⁵ × 2⁻⁶? =
  31. 31.What is the value of 3⁵ × 3⁻²? =
  32. 32.What is the value of 5⁻² (as a fraction)? =
  33. 33.Write 2.9 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of (1/8)⁻¹? =
  35. 35.5.7 × 10⁷ =
  36. 36.1.7 × 10² =
  37. 37.Write 5.5 × 10⁻³ as a decimal. =
  38. 38.Write 7.9 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 3⁵ × 3⁻¹? =
  40. 40.What is the value of 10⁶ × 10⁻⁵? =

Answer key

  1. 1/16
  2. 1/25
  3. 25/9
  4. 4
  5. 2401
  6. 1/216
  7. 16
  8. 1/243
  9. 0.059
  10. 8
  11. 6
  12. 7
  13. 0.11
  14. 1/3
  15. 1/8
  16. 243
  17. 6
  18. 6
  19. 12
  20. 1000
  21. 2
  22. 1
  23. 0.0071
  24. 24
  25. 7776
  26. 5
  27. 2
  28. 1/10
  29. 1/9
  30. 1/2
  31. 27
  32. 1/25
  33. 0.00029
  34. 8
  35. 57000000
  36. 170
  37. 0.0055
  38. 0.79
  39. 81
  40. 10

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