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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 244 · 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 (4²)⁷ as a single power 4ⁿ. What is n?
  2. 2.What is the value of 2⁷? =
  3. 3.What is the value of 2⁻² (as a fraction)? =
  4. 4.What is the value of 4²? =
  5. 5.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  6. 6.What is the value of 6⁻³ (as a fraction)? =
  7. 7.3.3 × 10³ =
  8. 8.2.4 × 10⁷ =
  9. 9.What is the value of 3⁵? =
  10. 10.Write 8,40,000 in standard form as 8.4 × 10ⁿ. What is n?
  11. 11.What is the value of 3⁴ × 3⁻⁶? =
  12. 12.What is the value of 3³? =
  13. 13.Write 2.7 × 10⁻² as a decimal. =
  14. 14.Write 5.8 × 10⁻¹ as a decimal. =
  15. 15.Write (9³)⁹ as a single power 9ⁿ. What is n?
  16. 16.What is the value of (7/8)⁻²? =
  17. 17.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  18. 18.Write (6³)⁷ as a single power 6ⁿ. What is n?
  19. 19.What is the value of 3⁵ × 3⁻⁶? =
  20. 20.What is the value of 6⁵? =
  21. 21.What is the value of 3⁻¹ (as a fraction)? =
  22. 22.Write 5.3 × 10⁻³ as a decimal. =
  23. 23.What is the value of 2⁶ × 2⁻²? =
  24. 24.What is the value of 8²? =
  25. 25.What is the value of 5⁻² (as a fraction)? =
  26. 26.Write 3.7 × 10⁻¹ as a decimal. =
  27. 27.Write 4.6 × 10⁻³ as a decimal. =
  28. 28.What is the value of 2³ × 2⁻³? =
  29. 29.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 2⁶ × 2⁻¹? =
  31. 31.What is the value of (2/5)⁻¹? =
  32. 32.Write 7.7 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of 2⁻⁵ (as a fraction)? =
  34. 34.Write (6⁸)⁸ as a single power 6ⁿ. What is n?
  35. 35.What is the value of 2¹¹? =
  36. 36.What is the value of 5²? =
  37. 37.Write (2⁵)³ as a single power 2ⁿ. What is n?
  38. 38.Write 6.5 × 10⁻³ as a decimal. =
  39. 39.What is the value of 4⁴? =
  40. 40.2.3 × 10⁷ =

Answer key

  1. 14
  2. 128
  3. 1/4
  4. 16
  5. 2
  6. 1/216
  7. 3300
  8. 24000000
  9. 243
  10. 5
  11. 1/9
  12. 27
  13. 0.027
  14. 0.58
  15. 27
  16. 64/49
  17. 4
  18. 21
  19. 1/3
  20. 7776
  21. 1/3
  22. 0.0053
  23. 16
  24. 64
  25. 1/25
  26. 0.37
  27. 0.0046
  28. 1
  29. 13
  30. 32
  31. 5/2
  32. 0.00077
  33. 1/32
  34. 64
  35. 2048
  36. 25
  37. 15
  38. 0.0065
  39. 256
  40. 23000000

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