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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 161 · 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 (8/9)⁻²? =
  2. 2.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 3⁵? =
  4. 4.What is the value of 10⁶ × 10⁻³? =
  5. 5.What is the value of 8⁴? =
  6. 6.What is the value of 4²? =
  7. 7.What is the value of 5⁴? =
  8. 8.1.8 × 10² =
  9. 9.What is the value of 9²? =
  10. 10.What is the value of 10³? =
  11. 11.Write 5¹⁴ ÷ 5⁶ as a single power 5ⁿ. What is n?
  12. 12.Write 2.5 × 10⁻³ as a decimal. =
  13. 13.9.6 × 10⁵ =
  14. 14.Write (2³)³ as a single power 2ⁿ. What is n?
  15. 15.What is the value of 5⁵ × 5⁻³? =
  16. 16.What is the value of 8³? =
  17. 17.What is the value of 6⁻¹ (as a fraction)? =
  18. 18.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
  19. 19.What is the value of 5³ × 5⁻¹? =
  20. 20.What is the value of 3³? =
  21. 21.What is the value of 2² × 2⁻⁵? =
  22. 22.What is the value of 5²? =
  23. 23.What is the value of 8⁵? =
  24. 24.Write 2¹⁶ ÷ 2⁸ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 2⁵ × 2⁻⁴? =
  26. 26.Write 8² × 8³ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 10⁴ × 10⁻²? =
  28. 28.What is the value of 2⁻⁵ (as a fraction)? =
  29. 29.Write 6¹¹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  30. 30.Write 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  31. 31.8.8 × 10⁴ =
  32. 32.Write 3.4 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of (3/8)⁻¹? =
  34. 34.What is the value of 7⁴? =
  35. 35.What is the value of 3⁻⁵ (as a fraction)? =
  36. 36.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
  37. 37.Write 4¹⁴ ÷ 4⁹ as a single power 4ⁿ. What is n?
  38. 38.Write 2,30,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  39. 39.What is the value of 2¹¹? =
  40. 40.What is the value of 2²? =

Answer key

  1. 81/64
  2. 15
  3. 243
  4. 1000
  5. 4096
  6. 16
  7. 625
  8. 180
  9. 81
  10. 1000
  11. 8
  12. 0.0025
  13. 960000
  14. 9
  15. 25
  16. 512
  17. 1/6
  18. 5
  19. 25
  20. 27
  21. 1/8
  22. 25
  23. 32768
  24. 8
  25. 2
  26. 5
  27. 100
  28. 1/32
  29. 7
  30. 6
  31. 88000
  32. 0.00034
  33. 8/3
  34. 2401
  35. 1/243
  36. 6
  37. 5
  38. 7
  39. 2048
  40. 4

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