← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 187 · 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 (7⁶)⁴ as a single power 7ⁿ. What is n?
  2. 2.What is the value of (2/3)⁻¹? =
  3. 3.What is the value of 6⁴? =
  4. 4.What is the value of 2³ × 2⁻⁶? =
  5. 5.What is the value of 2⁴ × 2⁻¹? =
  6. 6.Write 2,90,000 in standard form as 2.9 × 10ⁿ. What is n?
  7. 7.What is the value of 5⁻² (as a fraction)? =
  8. 8.What is the value of 10³ × 10⁻¹? =
  9. 9.What is the value of 4⁸? =
  10. 10.What is the value of 3² × 3⁻⁵? =
  11. 11.Write 5.5 × 10⁻³ as a decimal. =
  12. 12.Write (2⁷)⁴ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 4⁻² (as a fraction)? =
  14. 14.What is the value of 3⁻⁵ (as a fraction)? =
  15. 15.What is the value of (4/5)⁻¹? =
  16. 16.Write 3,20,000 in standard form as 3.2 × 10ⁿ. What is n?
  17. 17.What is the value of 5⁻¹ (as a fraction)? =
  18. 18.Write 3.6 × 10⁻⁴ as a decimal. =
  19. 19.Write 3.5 × 10⁻³ as a decimal. =
  20. 20.Write 3,400 in standard form as 3.4 × 10ⁿ. What is n?
  21. 21.Write 4⁶ × 4⁷ as a single power 4ⁿ. What is n?
  22. 22.Write 4.4 × 10⁻⁴ as a decimal. =
  23. 23.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  24. 24.What is the value of (4/9)⁻¹? =
  25. 25.Write 2 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2¹⁶? =
  27. 27.Write 3,40,000 in standard form as 3.4 × 10ⁿ. What is n?
  28. 28.Write 3³ × 3⁹ as a single power 3ⁿ. What is n?
  29. 29.6.1 × 10² =
  30. 30.What is the value of 2⁵ × 2⁻⁵? =
  31. 31.What is the value of 2³ × 2⁻⁴? =
  32. 32.What is the value of 10⁶ × 10⁻³? =
  33. 33.1.6 × 10⁴ =
  34. 34.What is the value of 2¹¹? =
  35. 35.What is the value of 3³ × 3⁻⁴? =
  36. 36.What is the value of 10⁻² (as a fraction)? =
  37. 37.Write (3⁹)⁸ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 4⁴? =
  39. 39.Write 5.3 × 10⁻³ as a decimal. =
  40. 40.3.8 × 10² =

Answer key

  1. 24
  2. 3/2
  3. 1296
  4. 1/8
  5. 8
  6. 5
  7. 1/25
  8. 100
  9. 65536
  10. 1/27
  11. 0.0055
  12. 28
  13. 1/16
  14. 1/243
  15. 5/4
  16. 5
  17. 1/5
  18. 0.00036
  19. 0.0035
  20. 3
  21. 13
  22. 0.00044
  23. 5
  24. 9/4
  25. 0.2
  26. 65536
  27. 5
  28. 12
  29. 610
  30. 1
  31. 1/2
  32. 1000
  33. 16000
  34. 2048
  35. 1/3
  36. 1/100
  37. 72
  38. 256
  39. 0.0053
  40. 380

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