← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 649 · 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 8.7 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 2¹¹? =
  3. 3.What is the value of 9⁵? =
  4. 4.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 4⁸? =
  6. 6.1.4 × 10³ =
  7. 7.What is the value of 3⁶? =
  8. 8.Write 6.8 × 10⁻² as a decimal. =
  9. 9.Write 8⁵ × 8⁶ as a single power 8ⁿ. What is n?
  10. 10.What is the value of 2¹ × 2⁻¹? =
  11. 11.Write 7.7 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 2⁴ × 2⁻⁶? =
  13. 13.What is the value of 5³? =
  14. 14.Write (3³)² as a single power 3ⁿ. What is n?
  15. 15.What is the value of 4⁻⁴ (as a fraction)? =
  16. 16.What is the value of 2⁹? =
  17. 17.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  18. 18.Write 5.7 × 10⁻¹ as a decimal. =
  19. 19.Write 9.7 × 10⁻² as a decimal. =
  20. 20.What is the value of 2³? =
  21. 21.2.2 × 10⁴ =
  22. 22.5.5 × 10² =
  23. 23.What is the value of 4⁴? =
  24. 24.Write (7⁶)⁸ as a single power 7ⁿ. What is n?
  25. 25.Write 4⁷ × 4⁶ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 3⁴ × 3⁻²? =
  27. 27.Write 9.2 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 6³? =
  29. 29.What is the value of 3⁵? =
  30. 30.What is the value of (7/8)⁻²? =
  31. 31.What is the value of 3³? =
  32. 32.What is the value of 2² × 2⁻¹? =
  33. 33.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  34. 34.8.2 × 10⁷ =
  35. 35.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  36. 36.What is the value of 5⁶ × 5⁻³? =
  37. 37.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  38. 38.What is the value of 5⁻³ (as a fraction)? =
  39. 39.Write 3² × 3² as a single power 3ⁿ. What is n?
  40. 40.4.3 × 10³ =

Answer key

  1. 0.87
  2. 2048
  3. 59049
  4. 54
  5. 65536
  6. 1400
  7. 729
  8. 0.068
  9. 11
  10. 1
  11. 0.77
  12. 1/4
  13. 125
  14. 6
  15. 1/256
  16. 512
  17. 6
  18. 0.57
  19. 0.097
  20. 8
  21. 22000
  22. 550
  23. 256
  24. 48
  25. 13
  26. 9
  27. 0.00092
  28. 216
  29. 243
  30. 64/49
  31. 27
  32. 2
  33. 3
  34. 82000000
  35. 2
  36. 125
  37. 8
  38. 1/125
  39. 4
  40. 4300

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