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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 378 · 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 5³? =
  2. 2.1.2 × 10⁶ =
  3. 3.What is the value of 10⁻² (as a fraction)? =
  4. 4.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  5. 5.1.4 × 10³ =
  6. 6.What is the value of 2⁶? =
  7. 7.What is the value of (6/7)⁻²? =
  8. 8.What is the value of 3⁷? =
  9. 9.What is the value of 2⁴? =
  10. 10.What is the value of 7⁻² (as a fraction)? =
  11. 11.Write 1.7 × 10⁻³ as a decimal. =
  12. 12.What is the value of 10⁴? =
  13. 13.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  14. 14.What is the value of 9⁴? =
  15. 15.What is the value of 2⁹? =
  16. 16.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  17. 17.What is the value of (1/3)⁻¹? =
  18. 18.What is the value of 3⁴? =
  19. 19.1.8 × 10³ =
  20. 20.Write 3⁸ ÷ 3² as a single power 3ⁿ. What is n?
  21. 21.Write 24,000 in standard form as 2.4 × 10ⁿ. What is n?
  22. 22.What is the value of 3⁶ × 3⁻⁴? =
  23. 23.4.8 × 10⁶ =
  24. 24.What is the value of 3³? =
  25. 25.What is the value of 10⁶ × 10⁻⁵? =
  26. 26.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  27. 27.Write 6.9 × 10⁻⁴ as a decimal. =
  28. 28.Write 9² × 9⁹ as a single power 9ⁿ. What is n?
  29. 29.4.3 × 10⁶ =
  30. 30.Write 4,30,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  31. 31.Write 8.4 × 10⁻² as a decimal. =
  32. 32.Write 7¹⁰ ÷ 7² as a single power 7ⁿ. What is n?
  33. 33.Write 8³ × 8³ as a single power 8ⁿ. What is n?
  34. 34.Write 9.8 × 10⁻² as a decimal. =
  35. 35.What is the value of 7⁻¹ (as a fraction)? =
  36. 36.Write 8.5 × 10⁻² as a decimal. =
  37. 37.What is the value of 10² × 10⁻⁴? =
  38. 38.What is the value of 5⁵ × 5⁻³? =
  39. 39.What is the value of 2¹¹? =
  40. 40.What is the value of 6⁵? =

Answer key

  1. 125
  2. 1200000
  3. 1/100
  4. 6
  5. 1400
  6. 64
  7. 49/36
  8. 2187
  9. 16
  10. 1/49
  11. 0.0017
  12. 10000
  13. 7
  14. 6561
  15. 512
  16. 11
  17. 3
  18. 81
  19. 1800
  20. 6
  21. 4
  22. 9
  23. 4800000
  24. 27
  25. 10
  26. 24
  27. 0.00069
  28. 11
  29. 4300000
  30. 7
  31. 0.084
  32. 8
  33. 6
  34. 0.098
  35. 1/7
  36. 0.085
  37. 1/100
  38. 25
  39. 2048
  40. 7776

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