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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 968 · 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 3⁻³ (as a fraction)? =
  2. 2.Write 5¹¹ ÷ 5⁸ as a single power 5ⁿ. What is n?
  3. 3.2.5 × 10² =
  4. 4.Write (6²)⁴ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 3⁹? =
  6. 6.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  7. 7.Write (4⁶)⁴ as a single power 4ⁿ. What is n?
  8. 8.Write 8⁹ × 8⁸ as a single power 8ⁿ. What is n?
  9. 9.Write 3⁷ ÷ 3² as a single power 3ⁿ. What is n?
  10. 10.What is the value of 2⁴? =
  11. 11.Write 5¹² ÷ 5⁹ as a single power 5ⁿ. What is n?
  12. 12.What is the value of 2²? =
  13. 13.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  14. 14.4 × 10³ =
  15. 15.Write (4⁹)⁵ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 7⁻² (as a fraction)? =
  17. 17.Write 8⁹ × 8⁴ as a single power 8ⁿ. What is n?
  18. 18.Write 1.1 × 10⁻⁴ as a decimal. =
  19. 19.Write 4.3 × 10⁻³ as a decimal. =
  20. 20.What is the value of 9⁻¹ (as a fraction)? =
  21. 21.Write 1.8 × 10⁻¹ as a decimal. =
  22. 22.7.4 × 10⁷ =
  23. 23.What is the value of 10⁴ × 10⁻³? =
  24. 24.What is the value of 4⁸? =
  25. 25.Write 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
  26. 26.Write 9.5 × 10⁻² as a decimal. =
  27. 27.What is the value of (1/7)⁻²? =
  28. 28.Write 3,10,000 in standard form as 3.1 × 10ⁿ. What is n?
  29. 29.What is the value of 3²? =
  30. 30.Write 4.7 × 10⁻¹ as a decimal. =
  31. 31.2.7 × 10⁶ =
  32. 32.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
  33. 33.What is the value of 2³ × 2⁻²? =
  34. 34.What is the value of 2⁹? =
  35. 35.What is the value of 5³ × 5⁻³? =
  36. 36.Write 920 in standard form as 9.2 × 10ⁿ. What is n?
  37. 37.Write 9.4 × 10⁻⁴ as a decimal. =
  38. 38.Write (4⁷)³ as a single power 4ⁿ. What is n?
  39. 39.Write 3⁴ ÷ 3² as a single power 3ⁿ. What is n?
  40. 40.What is the value of 5⁻² (as a fraction)? =

Answer key

  1. 1/27
  2. 3
  3. 250
  4. 8
  5. 19683
  6. 2
  7. 24
  8. 17
  9. 5
  10. 16
  11. 3
  12. 4
  13. 2
  14. 4000
  15. 45
  16. 1/49
  17. 13
  18. 0.00011
  19. 0.0043
  20. 1/9
  21. 0.18
  22. 74000000
  23. 10
  24. 65536
  25. 16
  26. 0.095
  27. 49
  28. 5
  29. 9
  30. 0.47
  31. 2700000
  32. 5
  33. 2
  34. 512
  35. 1
  36. 2
  37. 0.00094
  38. 21
  39. 2
  40. 1/25

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