← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 134 · 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 (3⁶)⁶ as a single power 3ⁿ. What is n?
  2. 2.Write (2⁶)⁴ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 8⁻³ (as a fraction)? =
  4. 4.Write 9.6 × 10⁻¹ as a decimal. =
  5. 5.Write 19,000 in standard form as 1.9 × 10ⁿ. What is n?
  6. 6.What is the value of (3/7)⁻²? =
  7. 7.What is the value of 4⁵? =
  8. 8.Write 7.5 × 10⁻² as a decimal. =
  9. 9.What is the value of 2⁻² (as a fraction)? =
  10. 10.Write 5,70,000 in standard form as 5.7 × 10ⁿ. What is n?
  11. 11.What is the value of (1/4)⁻²? =
  12. 12.What is the value of 2⁶ × 2⁻²? =
  13. 13.Write 7.6 × 10⁻² as a decimal. =
  14. 14.Write (7⁹)³ as a single power 7ⁿ. What is n?
  15. 15.What is the value of 10² × 10⁻¹? =
  16. 16.Write 3.8 × 10⁻¹ as a decimal. =
  17. 17.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  18. 18.Write 5,100 in standard form as 5.1 × 10ⁿ. What is n?
  19. 19.What is the value of (8/9)⁻¹? =
  20. 20.What is the value of 6²? =
  21. 21.What is the value of 9⁴? =
  22. 22.What is the value of 5⁶? =
  23. 23.7.3 × 10⁷ =
  24. 24.What is the value of 2¹⁵? =
  25. 25.What is the value of 3⁹? =
  26. 26.What is the value of 9⁻³ (as a fraction)? =
  27. 27.What is the value of 2⁴? =
  28. 28.What is the value of 2³ × 2⁻³? =
  29. 29.What is the value of 3²? =
  30. 30.What is the value of 5⁴ × 5⁻⁶? =
  31. 31.What is the value of 3⁶? =
  32. 32.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  33. 33.What is the value of 3⁻⁵ (as a fraction)? =
  34. 34.5.2 × 10⁷ =
  35. 35.What is the value of 2⁶ × 2⁻³? =
  36. 36.Write 6⁵ × 6⁹ as a single power 6ⁿ. What is n?
  37. 37.9.5 × 10³ =
  38. 38.2.7 × 10³ =
  39. 39.Write 7¹⁴ ÷ 7⁶ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 2⁻¹ (as a fraction)? =

Answer key

  1. 36
  2. 24
  3. 1/512
  4. 0.96
  5. 4
  6. 49/9
  7. 1024
  8. 0.075
  9. 1/4
  10. 5
  11. 16
  12. 16
  13. 0.076
  14. 27
  15. 10
  16. 0.38
  17. 6
  18. 3
  19. 9/8
  20. 36
  21. 6561
  22. 15625
  23. 73000000
  24. 32768
  25. 19683
  26. 1/729
  27. 16
  28. 1
  29. 9
  30. 1/25
  31. 729
  32. 7
  33. 1/243
  34. 52000000
  35. 8
  36. 14
  37. 9500
  38. 2700
  39. 8
  40. 1/2

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