← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 544 · 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 1.3 × 10⁻¹ as a decimal. =
  2. 2.Write 2⁸ × 2² as a single power 2ⁿ. What is n?
  3. 3.Write 4,80,000 in standard form as 4.8 × 10ⁿ. What is n?
  4. 4.Write 9.3 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 5⁻² (as a fraction)? =
  6. 6.8.5 × 10⁵ =
  7. 7.What is the value of 2⁴? =
  8. 8.What is the value of (4/7)⁻²? =
  9. 9.What is the value of 2⁹? =
  10. 10.What is the value of 10⁵ × 10⁻⁶? =
  11. 11.What is the value of 3⁷? =
  12. 12.Write 8.7 × 10⁻¹ as a decimal. =
  13. 13.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
  14. 14.What is the value of 5⁵ × 5⁻⁴? =
  15. 15.What is the value of 3⁴ × 3⁻⁴? =
  16. 16.9.7 × 10⁶ =
  17. 17.What is the value of 8⁵? =
  18. 18.Write 2 × 10⁻³ as a decimal. =
  19. 19.What is the value of 3⁶ × 3⁻⁴? =
  20. 20.What is the value of 2⁷? =
  21. 21.Write 4⁵ ÷ 4³ as a single power 4ⁿ. What is n?
  22. 22.Write 3.5 × 10⁻² as a decimal. =
  23. 23.Write 8.6 × 10⁻⁴ as a decimal. =
  24. 24.Write 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
  25. 25.Write 8.1 × 10⁻¹ as a decimal. =
  26. 26.6.5 × 10² =
  27. 27.What is the value of 2¹⁴? =
  28. 28.Write 4⁹ × 4⁴ as a single power 4ⁿ. What is n?
  29. 29.Write 2 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 2⁻³ (as a fraction)? =
  31. 31.What is the value of 7⁴? =
  32. 32.Write 3.4 × 10⁻¹ as a decimal. =
  33. 33.What is the value of (4/5)⁻²? =
  34. 34.What is the value of 2⁻⁸ (as a fraction)? =
  35. 35.Write 1.8 × 10⁻⁴ as a decimal. =
  36. 36.Write 1.7 × 10⁻² as a decimal. =
  37. 37.Write 5⁴ × 5⁷ as a single power 5ⁿ. What is n?
  38. 38.Write 7.2 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 2¹⁶? =
  40. 40.What is the value of 6⁻³ (as a fraction)? =

Answer key

  1. 0.13
  2. 10
  3. 5
  4. 0.00093
  5. 1/25
  6. 850000
  7. 16
  8. 49/16
  9. 512
  10. 1/10
  11. 2187
  12. 0.87
  13. 3
  14. 5
  15. 1
  16. 9700000
  17. 32768
  18. 0.002
  19. 9
  20. 128
  21. 2
  22. 0.035
  23. 0.00086
  24. 4
  25. 0.81
  26. 650
  27. 16384
  28. 13
  29. 0.0002
  30. 1/8
  31. 2401
  32. 0.34
  33. 25/16
  34. 1/256
  35. 0.00018
  36. 0.017
  37. 11
  38. 0.00072
  39. 65536
  40. 1/216

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