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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 789 · 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 (5/8)⁻¹? =
  2. 2.Write 9.9 × 10⁻² as a decimal. =
  3. 3.What is the value of (4/5)⁻¹? =
  4. 4.7.4 × 10³ =
  5. 5.What is the value of 4⁸? =
  6. 6.What is the value of 3¹ × 3⁻⁵? =
  7. 7.What is the value of 10² × 10⁻⁵? =
  8. 8.What is the value of (1/5)⁻¹? =
  9. 9.What is the value of 2³ × 2⁻⁴? =
  10. 10.Write 33,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  11. 11.What is the value of 9⁻² (as a fraction)? =
  12. 12.Write 4⁴ ÷ 4² as a single power 4ⁿ. What is n?
  13. 13.Write 1.4 × 10⁻² as a decimal. =
  14. 14.Write 4.7 × 10⁻² as a decimal. =
  15. 15.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  16. 16.What is the value of 2¹³? =
  17. 17.What is the value of (5/9)⁻¹? =
  18. 18.Write 28,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  19. 19.1.1 × 10² =
  20. 20.What is the value of 3⁵ × 3⁻⁴? =
  21. 21.Write (8⁴)⁶ as a single power 8ⁿ. What is n?
  22. 22.9.2 × 10⁴ =
  23. 23.What is the value of 7⁵? =
  24. 24.Write 2.4 × 10⁻⁴ as a decimal. =
  25. 25.Write 130 in standard form as 1.3 × 10ⁿ. What is n?
  26. 26.Write 7⁹ ÷ 7⁷ as a single power 7ⁿ. What is n?
  27. 27.Write 460 in standard form as 4.6 × 10ⁿ. What is n?
  28. 28.What is the value of 7²? =
  29. 29.What is the value of 10⁴ × 10⁻²? =
  30. 30.Write 2.7 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of (1/9)⁻²? =
  32. 32.What is the value of 3⁴ × 3⁻²? =
  33. 33.Write 74,00,000 in standard form as 7.4 × 10ⁿ. What is n?
  34. 34.What is the value of 7⁴? =
  35. 35.Write 3⁶ × 3⁶ as a single power 3ⁿ. What is n?
  36. 36.What is the value of 5⁶ × 5⁻¹? =
  37. 37.What is the value of 2¹⁶? =
  38. 38.What is the value of 2⁻⁴ (as a fraction)? =
  39. 39.What is the value of 9⁻¹ (as a fraction)? =
  40. 40.What is the value of (2/5)⁻¹? =

Answer key

  1. 8/5
  2. 0.099
  3. 5/4
  4. 7400
  5. 65536
  6. 1/81
  7. 1/1000
  8. 5
  9. 1/2
  10. 6
  11. 1/81
  12. 2
  13. 0.014
  14. 0.047
  15. 7
  16. 8192
  17. 9/5
  18. 6
  19. 110
  20. 3
  21. 24
  22. 92000
  23. 16807
  24. 0.00024
  25. 2
  26. 2
  27. 2
  28. 49
  29. 100
  30. 0.00027
  31. 81
  32. 9
  33. 6
  34. 2401
  35. 12
  36. 3125
  37. 65536
  38. 1/16
  39. 1/9
  40. 5/2

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