← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 80 · 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 3⁴? =
  2. 2.Write 6⁹ ÷ 6⁶ as a single power 6ⁿ. What is n?
  3. 3.Write 4² × 4³ as a single power 4ⁿ. What is n?
  4. 4.What is the value of 2¹⁴? =
  5. 5.What is the value of 3⁻⁵ (as a fraction)? =
  6. 6.What is the value of (1/3)⁻²? =
  7. 7.What is the value of (6/7)⁻¹? =
  8. 8.What is the value of 7⁻² (as a fraction)? =
  9. 9.What is the value of 4³? =
  10. 10.What is the value of 3⁴ × 3⁻¹? =
  11. 11.What is the value of (4/5)⁻²? =
  12. 12.What is the value of 10⁵? =
  13. 13.What is the value of 3⁸? =
  14. 14.Write 2.2 × 10⁻² as a decimal. =
  15. 15.6 × 10⁶ =
  16. 16.Write 1.5 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 2⁻⁶ (as a fraction)? =
  18. 18.What is the value of 3⁹? =
  19. 19.What is the value of 2⁻² (as a fraction)? =
  20. 20.Write (6²)⁶ as a single power 6ⁿ. What is n?
  21. 21.Write (2⁶)³ as a single power 2ⁿ. What is n?
  22. 22.Write 2.5 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 5⁵ × 5⁻⁵? =
  24. 24.What is the value of 2¹³? =
  25. 25.What is the value of 10⁻³ (as a fraction)? =
  26. 26.What is the value of 2² × 2⁻⁵? =
  27. 27.Write 8,000 in standard form as 8 × 10ⁿ. What is n?
  28. 28.What is the value of 5⁵ × 5⁻²? =
  29. 29.Write (8⁶)⁶ as a single power 8ⁿ. What is n?
  30. 30.Write 3.2 × 10⁻¹ as a decimal. =
  31. 31.Write 8¹² ÷ 8⁷ as a single power 8ⁿ. What is n?
  32. 32.Write 8⁴ × 8³ as a single power 8ⁿ. What is n?
  33. 33.Write 9 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 8³? =
  35. 35.Write (8⁹)⁹ as a single power 8ⁿ. What is n?
  36. 36.8.3 × 10³ =
  37. 37.What is the value of 3¹ × 3⁻⁵? =
  38. 38.What is the value of 2¹ × 2⁻⁴? =
  39. 39.What is the value of 2⁻³ (as a fraction)? =
  40. 40.Write 4.6 × 10⁻² as a decimal. =

Answer key

  1. 81
  2. 3
  3. 5
  4. 16384
  5. 1/243
  6. 9
  7. 7/6
  8. 1/49
  9. 64
  10. 27
  11. 25/16
  12. 100000
  13. 6561
  14. 0.022
  15. 6000000
  16. 0.15
  17. 1/64
  18. 19683
  19. 1/4
  20. 12
  21. 18
  22. 0.00025
  23. 1
  24. 8192
  25. 1/1000
  26. 1/8
  27. 3
  28. 125
  29. 36
  30. 0.32
  31. 5
  32. 7
  33. 0.9
  34. 512
  35. 81
  36. 8300
  37. 1/81
  38. 1/8
  39. 1/8
  40. 0.046

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets