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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 444 · 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 7.5 × 10⁻⁴ as a decimal. =
  2. 2.Write 8.3 × 10⁻³ as a decimal. =
  3. 3.Write 8⁷ × 8⁶ as a single power 8ⁿ. What is n?
  4. 4.What is the value of (5/8)⁻²? =
  5. 5.What is the value of (5/7)⁻²? =
  6. 6.Write 9¹¹ ÷ 9⁵ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 2¹ × 2⁻¹? =
  8. 8.Write 2¹⁷ ÷ 2⁹ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 10¹ × 10⁻²? =
  10. 10.What is the value of 8⁴? =
  11. 11.Write 4⁹ × 4⁹ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 2²? =
  13. 13.What is the value of 3⁷? =
  14. 14.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
  15. 15.What is the value of (1/2)⁻¹? =
  16. 16.What is the value of 3² × 3⁻¹? =
  17. 17.Write 8³ × 8² as a single power 8ⁿ. What is n?
  18. 18.Write (8⁸)⁶ as a single power 8ⁿ. What is n?
  19. 19.What is the value of 4⁴? =
  20. 20.What is the value of 3⁹? =
  21. 21.6.9 × 10² =
  22. 22.1.7 × 10⁵ =
  23. 23.Write 3⁷ ÷ 3² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 5² × 5⁻¹? =
  25. 25.Write 2.1 × 10⁻³ as a decimal. =
  26. 26.Write 66,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  27. 27.What is the value of 10³ × 10⁻⁴? =
  28. 28.What is the value of 9²? =
  29. 29.Write 6³ × 6³ as a single power 6ⁿ. What is n?
  30. 30.What is the value of 8⁻³ (as a fraction)? =
  31. 31.Write 8 × 10⁻¹ as a decimal. =
  32. 32.Write (4²)⁹ as a single power 4ⁿ. What is n?
  33. 33.What is the value of 3³ × 3⁻⁶? =
  34. 34.8.4 × 10⁶ =
  35. 35.3.6 × 10³ =
  36. 36.Write 5.1 × 10⁻³ as a decimal. =
  37. 37.What is the value of 2⁻⁵ (as a fraction)? =
  38. 38.Write 2.4 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 2⁶? =
  40. 40.What is the value of 3⁶? =

Answer key

  1. 0.00075
  2. 0.0083
  3. 13
  4. 64/25
  5. 49/25
  6. 6
  7. 1
  8. 8
  9. 1/10
  10. 4096
  11. 18
  12. 4
  13. 2187
  14. 12
  15. 2
  16. 3
  17. 5
  18. 48
  19. 256
  20. 19683
  21. 690
  22. 170000
  23. 5
  24. 5
  25. 0.0021
  26. 6
  27. 1/10
  28. 81
  29. 6
  30. 1/512
  31. 0.8
  32. 18
  33. 1/27
  34. 8400000
  35. 3600
  36. 0.0051
  37. 1/32
  38. 0.24
  39. 64
  40. 729

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