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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 961 · 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 (1/3)⁻¹? =
  2. 2.What is the value of 7⁵? =
  3. 3.What is the value of (4/7)⁻²? =
  4. 4.Write 7¹¹ ÷ 7⁹ as a single power 7ⁿ. What is n?
  5. 5.What is the value of 5⁻¹ (as a fraction)? =
  6. 6.Write 6⁹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  7. 7.What is the value of 5⁻⁴ (as a fraction)? =
  8. 8.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁴ × 2⁻³? =
  10. 10.Write (3³)² as a single power 3ⁿ. What is n?
  11. 11.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 4²? =
  13. 13.Write 52,000 in standard form as 5.2 × 10ⁿ. What is n?
  14. 14.What is the value of 4⁻³ (as a fraction)? =
  15. 15.Write 3.3 × 10⁻² as a decimal. =
  16. 16.What is the value of 3⁻² (as a fraction)? =
  17. 17.What is the value of 4⁶? =
  18. 18.Write 5 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of (3/8)⁻¹? =
  20. 20.What is the value of 10² × 10⁻³? =
  21. 21.What is the value of (1/2)⁻²? =
  22. 22.3 × 10⁵ =
  23. 23.What is the value of 2¹⁴? =
  24. 24.What is the value of 2¹²? =
  25. 25.Write 9.9 × 10⁻³ as a decimal. =
  26. 26.Write 2,00,00,000 in standard form as 2 × 10ⁿ. What is n?
  27. 27.What is the value of 2⁴? =
  28. 28.Write 7.3 × 10⁻² as a decimal. =
  29. 29.What is the value of 10¹ × 10⁻⁵? =
  30. 30.What is the value of 10⁵ × 10⁻¹? =
  31. 31.What is the value of 9³? =
  32. 32.What is the value of 3¹ × 3⁻¹? =
  33. 33.3.9 × 10² =
  34. 34.5.1 × 10² =
  35. 35.What is the value of (1/4)⁻¹? =
  36. 36.What is the value of (1/6)⁻¹? =
  37. 37.Write 4.6 × 10⁻² as a decimal. =
  38. 38.Write 3.7 × 10⁻¹ as a decimal. =
  39. 39.Write 4.2 × 10⁻² as a decimal. =
  40. 40.What is the value of 3⁻¹ (as a fraction)? =

Answer key

  1. 3
  2. 16807
  3. 49/16
  4. 2
  5. 1/5
  6. 4
  7. 1/625
  8. 7
  9. 2
  10. 6
  11. 6
  12. 16
  13. 4
  14. 1/64
  15. 0.033
  16. 1/9
  17. 4096
  18. 0.0005
  19. 8/3
  20. 1/10
  21. 4
  22. 300000
  23. 16384
  24. 4096
  25. 0.0099
  26. 7
  27. 16
  28. 0.073
  29. 1/10000
  30. 10000
  31. 729
  32. 1
  33. 390
  34. 510
  35. 4
  36. 6
  37. 0.046
  38. 0.37
  39. 0.042
  40. 1/3

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