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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 883 · 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.Write 9.1 × 10⁻² as a decimal. =
  2. 2.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  3. 3.Write 5.2 × 10⁻¹ as a decimal. =
  4. 4.Write 2¹¹ ÷ 2⁷ as a single power 2ⁿ. What is n?
  5. 5.3.8 × 10⁴ =
  6. 6.Write 4.2 × 10⁻³ as a decimal. =
  7. 7.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  8. 8.Write 8.2 × 10⁻² as a decimal. =
  9. 9.What is the value of (1/5)⁻¹? =
  10. 10.Write 2⁹ ÷ 2² as a single power 2ⁿ. What is n?
  11. 11.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  12. 12.Write 8.8 × 10⁻⁴ as a decimal. =
  13. 13.Write 4.7 × 10⁻² as a decimal. =
  14. 14.What is the value of 3¹ × 3⁻²? =
  15. 15.What is the value of 9²? =
  16. 16.What is the value of (5/8)⁻¹? =
  17. 17.What is the value of 2⁴ × 2⁻¹? =
  18. 18.Write (2²)⁷ as a single power 2ⁿ. What is n?
  19. 19.Write 4 × 10⁻² as a decimal. =
  20. 20.What is the value of 2⁻⁷ (as a fraction)? =
  21. 21.What is the value of 5³ × 5⁻²? =
  22. 22.Write (2²)⁴ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 7⁻¹ (as a fraction)? =
  24. 24.What is the value of 4⁶? =
  25. 25.Write 7 × 10⁻⁴ as a decimal. =
  26. 26.Write 5.4 × 10⁻² as a decimal. =
  27. 27.Write 4.5 × 10⁻³ as a decimal. =
  28. 28.What is the value of 2³ × 2⁻¹? =
  29. 29.What is the value of 5⁴? =
  30. 30.Write 4.2 × 10⁻² as a decimal. =
  31. 31.What is the value of 3⁴ × 3⁻⁶? =
  32. 32.What is the value of 2⁷? =
  33. 33.Write 1.2 × 10⁻² as a decimal. =
  34. 34.Write (5³)³ as a single power 5ⁿ. What is n?
  35. 35.Write 9.1 × 10⁻¹ as a decimal. =
  36. 36.Write 6.4 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 10⁶ × 10⁻⁴? =
  38. 38.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  39. 39.What is the value of 2⁻⁴ (as a fraction)? =
  40. 40.Write (8⁶)⁹ as a single power 8ⁿ. What is n?

Answer key

  1. 0.091
  2. 5
  3. 0.52
  4. 4
  5. 38000
  6. 0.0042
  7. 7
  8. 0.082
  9. 5
  10. 7
  11. 2
  12. 0.00088
  13. 0.047
  14. 1/3
  15. 81
  16. 8/5
  17. 8
  18. 14
  19. 0.04
  20. 1/128
  21. 5
  22. 8
  23. 1/7
  24. 4096
  25. 0.0007
  26. 0.054
  27. 0.0045
  28. 4
  29. 625
  30. 0.042
  31. 1/9
  32. 128
  33. 0.012
  34. 9
  35. 0.91
  36. 0.64
  37. 100
  38. 2
  39. 1/16
  40. 54

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