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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 640 · 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 2⁻³ (as a fraction)? =
  2. 2.Write 7⁹ × 7⁵ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2¹³? =
  4. 4.Write 37,00,000 in standard form as 3.7 × 10ⁿ. What is n?
  5. 5.What is the value of 4²? =
  6. 6.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
  7. 7.What is the value of (3/8)⁻²? =
  8. 8.What is the value of 10²? =
  9. 9.Write (9⁵)⁸ as a single power 9ⁿ. What is n?
  10. 10.What is the value of (2/3)⁻¹? =
  11. 11.Write 2¹¹ ÷ 2⁸ as a single power 2ⁿ. What is n?
  12. 12.Write 64,000 in standard form as 6.4 × 10ⁿ. What is n?
  13. 13.What is the value of 5³? =
  14. 14.What is the value of 2²? =
  15. 15.5.4 × 10² =
  16. 16.Write 2.7 × 10⁻¹ as a decimal. =
  17. 17.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
  18. 18.Write 8.8 × 10⁻² as a decimal. =
  19. 19.What is the value of (5/7)⁻¹? =
  20. 20.4.2 × 10⁴ =
  21. 21.8.8 × 10⁶ =
  22. 22.What is the value of 3⁹? =
  23. 23.What is the value of 10² × 10⁻³? =
  24. 24.9.3 × 10² =
  25. 25.Write 6.4 × 10⁻² as a decimal. =
  26. 26.Write 4.2 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 2⁵ × 2⁻⁶? =
  28. 28.Write (6⁶)⁵ as a single power 6ⁿ. What is n?
  29. 29.Write 1.8 × 10⁻² as a decimal. =
  30. 30.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 7⁴? =
  32. 32.What is the value of 5⁻¹ (as a fraction)? =
  33. 33.Write 8.5 × 10⁻³ as a decimal. =
  34. 34.What is the value of 2¹⁶? =
  35. 35.6 × 10⁵ =
  36. 36.What is the value of 3⁻² (as a fraction)? =
  37. 37.What is the value of 7⁻³ (as a fraction)? =
  38. 38.What is the value of 10⁵ × 10⁻¹? =
  39. 39.Write 170 in standard form as 1.7 × 10ⁿ. What is n?
  40. 40.Write 9.6 × 10⁻² as a decimal. =

Answer key

  1. 1/8
  2. 14
  3. 8192
  4. 6
  5. 16
  6. 9
  7. 64/9
  8. 100
  9. 40
  10. 3/2
  11. 3
  12. 4
  13. 125
  14. 4
  15. 540
  16. 0.27
  17. 8
  18. 0.088
  19. 7/5
  20. 42000
  21. 8800000
  22. 19683
  23. 1/10
  24. 930
  25. 0.064
  26. 0.42
  27. 1/2
  28. 30
  29. 0.018
  30. 15
  31. 2401
  32. 1/5
  33. 0.0085
  34. 65536
  35. 600000
  36. 1/9
  37. 1/343
  38. 10000
  39. 2
  40. 0.096

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