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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 426 · 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 2³ × 2⁴ as a single power 2ⁿ. What is n?
  2. 2.What is the value of 10¹ × 10⁻⁶? =
  3. 3.What is the value of 10² × 10⁻⁵? =
  4. 4.What is the value of 2²? =
  5. 5.What is the value of 8³? =
  6. 6.Write 9⁴ ÷ 9² as a single power 9ⁿ. What is n?
  7. 7.What is the value of 4⁷? =
  8. 8.2.3 × 10⁵ =
  9. 9.Write 5.5 × 10⁻³ as a decimal. =
  10. 10.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 3⁶ × 3⁻¹? =
  12. 12.What is the value of 5⁴? =
  13. 13.What is the value of 6⁻² (as a fraction)? =
  14. 14.What is the value of 2⁻⁴ (as a fraction)? =
  15. 15.Write (3⁸)⁹ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 2⁻⁵ (as a fraction)? =
  17. 17.Write 5.2 × 10⁻³ as a decimal. =
  18. 18.Write (2⁵)³ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 8⁻¹ (as a fraction)? =
  20. 20.Write 3.2 × 10⁻¹ as a decimal. =
  21. 21.Write 6⁸ × 6⁶ as a single power 6ⁿ. What is n?
  22. 22.Write 5⁴ × 5⁷ as a single power 5ⁿ. What is n?
  23. 23.What is the value of 5⁻³ (as a fraction)? =
  24. 24.What is the value of 4²? =
  25. 25.Write 1.6 × 10⁻³ as a decimal. =
  26. 26.What is the value of 2¹¹? =
  27. 27.What is the value of 5²? =
  28. 28.Write 9.8 × 10⁻¹ as a decimal. =
  29. 29.What is the value of (3/5)⁻¹? =
  30. 30.What is the value of (1/4)⁻²? =
  31. 31.Write 54,00,000 in standard form as 5.4 × 10ⁿ. What is n?
  32. 32.Write (2⁸)⁷ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 10⁵ × 10⁻²? =
  34. 34.What is the value of 3³ × 3⁻²? =
  35. 35.Write (2³)⁸ as a single power 2ⁿ. What is n?
  36. 36.What is the value of 10⁻² (as a fraction)? =
  37. 37.Write 6.5 × 10⁻¹ as a decimal. =
  38. 38.What is the value of (8/9)⁻²? =
  39. 39.Write (9⁴)⁴ as a single power 9ⁿ. What is n?
  40. 40.What is the value of 2² × 2⁻²? =

Answer key

  1. 7
  2. 1/100000
  3. 1/1000
  4. 4
  5. 512
  6. 2
  7. 16384
  8. 230000
  9. 0.0055
  10. 16
  11. 243
  12. 625
  13. 1/36
  14. 1/16
  15. 72
  16. 1/32
  17. 0.0052
  18. 15
  19. 1/8
  20. 0.32
  21. 14
  22. 11
  23. 1/125
  24. 16
  25. 0.0016
  26. 2048
  27. 25
  28. 0.98
  29. 5/3
  30. 16
  31. 6
  32. 56
  33. 1000
  34. 3
  35. 24
  36. 1/100
  37. 0.65
  38. 81/64
  39. 16
  40. 1

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