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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 225 · 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 4⁸? =
  2. 2.What is the value of (2/5)⁻²? =
  3. 3.Write (8⁷)² as a single power 8ⁿ. What is n?
  4. 4.Write (8⁷)⁴ as a single power 8ⁿ. What is n?
  5. 5.Write 4² × 4² as a single power 4ⁿ. What is n?
  6. 6.What is the value of 10⁵ × 10⁻⁴? =
  7. 7.What is the value of 5¹ × 5⁻¹? =
  8. 8.What is the value of 10⁴? =
  9. 9.Write (5⁷)⁶ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 2¹ × 2⁻¹? =
  11. 11.Write 9.4 × 10⁻² as a decimal. =
  12. 12.What is the value of 2⁶? =
  13. 13.What is the value of 2⁶ × 2⁻⁶? =
  14. 14.What is the value of 4²? =
  15. 15.What is the value of 10⁴ × 10⁻¹? =
  16. 16.What is the value of 2³ × 2⁻²? =
  17. 17.What is the value of 3⁸? =
  18. 18.What is the value of 3⁷? =
  19. 19.What is the value of 2⁶ × 2⁻²? =
  20. 20.What is the value of 2¹¹? =
  21. 21.What is the value of 5⁷? =
  22. 22.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  23. 23.What is the value of 10² × 10⁻²? =
  24. 24.What is the value of 8⁻² (as a fraction)? =
  25. 25.Write 5⁴ × 5⁴ as a single power 5ⁿ. What is n?
  26. 26.What is the value of 10⁻¹ (as a fraction)? =
  27. 27.What is the value of 2⁴? =
  28. 28.What is the value of 10⁴ × 10⁻⁶? =
  29. 29.What is the value of 4⁻¹ (as a fraction)? =
  30. 30.What is the value of (1/9)⁻²? =
  31. 31.What is the value of 2¹⁰? =
  32. 32.What is the value of 2⁸? =
  33. 33.Write (3⁸)⁶ as a single power 3ⁿ. What is n?
  34. 34.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  35. 35.Write 7⁶ ÷ 7⁴ as a single power 7ⁿ. What is n?
  36. 36.Write 7.3 × 10⁻¹ as a decimal. =
  37. 37.What is the value of (7/8)⁻¹? =
  38. 38.What is the value of 7³? =
  39. 39.Write 2 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of (5/8)⁻¹? =

Answer key

  1. 65536
  2. 25/4
  3. 14
  4. 28
  5. 4
  6. 10
  7. 1
  8. 10000
  9. 42
  10. 1
  11. 0.094
  12. 64
  13. 1
  14. 16
  15. 1000
  16. 2
  17. 6561
  18. 2187
  19. 16
  20. 2048
  21. 78125
  22. 2
  23. 1
  24. 1/64
  25. 8
  26. 1/10
  27. 16
  28. 1/100
  29. 1/4
  30. 81
  31. 1024
  32. 256
  33. 48
  34. 6
  35. 2
  36. 0.73
  37. 8/7
  38. 343
  39. 0.0002
  40. 8/5

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