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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 492 · 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. 1.5.1 × 10⁷ =
  2. 2.What is the value of 3⁶ × 3⁻⁵? =
  3. 3.What is the value of (1/2)⁻¹? =
  4. 4.Write 6.8 × 10⁻² as a decimal. =
  5. 5.Write 8⁸ × 8⁸ as a single power 8ⁿ. What is n?
  6. 6.What is the value of 8²? =
  7. 7.What is the value of (4/9)⁻¹? =
  8. 8.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  9. 9.Write 6² × 6⁷ as a single power 6ⁿ. What is n?
  10. 10.What is the value of 5⁻³ (as a fraction)? =
  11. 11.What is the value of (5/7)⁻¹? =
  12. 12.What is the value of 3²? =
  13. 13.What is the value of 2⁶ × 2⁻³? =
  14. 14.What is the value of 2¹⁰? =
  15. 15.Write 14,000 in standard form as 1.4 × 10ⁿ. What is n?
  16. 16.What is the value of 3⁻³ (as a fraction)? =
  17. 17.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  18. 18.Write 7¹¹ ÷ 7³ as a single power 7ⁿ. What is n?
  19. 19.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
  20. 20.What is the value of 3¹ × 3⁻⁶? =
  21. 21.Write (2⁵)⁵ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 7⁴? =
  23. 23.What is the value of 2¹ × 2⁻⁴? =
  24. 24.Write 7.8 × 10⁻⁴ as a decimal. =
  25. 25.Write 8.6 × 10⁻³ as a decimal. =
  26. 26.3.5 × 10⁷ =
  27. 27.What is the value of 4⁶? =
  28. 28.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  29. 29.Write 6.2 × 10⁻² as a decimal. =
  30. 30.3.3 × 10⁶ =
  31. 31.What is the value of (3/7)⁻²? =
  32. 32.Write (6²)⁹ as a single power 6ⁿ. What is n?
  33. 33.Write 4,000 in standard form as 4 × 10ⁿ. What is n?
  34. 34.9.2 × 10² =
  35. 35.Write 5⁹ × 5⁹ as a single power 5ⁿ. What is n?
  36. 36.Write 6⁹ × 6⁸ as a single power 6ⁿ. What is n?
  37. 37.What is the value of (5/7)⁻²? =
  38. 38.What is the value of (5/8)⁻¹? =
  39. 39.6.4 × 10⁶ =
  40. 40.What is the value of 5⁶ × 5⁻⁶? =

Answer key

  1. 51000000
  2. 3
  3. 2
  4. 0.068
  5. 16
  6. 64
  7. 9/4
  8. 5
  9. 9
  10. 1/125
  11. 7/5
  12. 9
  13. 8
  14. 1024
  15. 4
  16. 1/27
  17. 13
  18. 8
  19. 11
  20. 1/243
  21. 25
  22. 2401
  23. 1/8
  24. 0.00078
  25. 0.0086
  26. 35000000
  27. 4096
  28. 12
  29. 0.062
  30. 3300000
  31. 49/9
  32. 18
  33. 3
  34. 920
  35. 18
  36. 17
  37. 49/25
  38. 8/5
  39. 6400000
  40. 1

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