← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 324 · 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 2¹ × 2⁻⁶? =
  2. 2.Write 3.7 × 10⁻⁴ as a decimal. =
  3. 3.Write 4 × 10⁻³ as a decimal. =
  4. 4.Write 6¹⁵ ÷ 6⁹ as a single power 6ⁿ. What is n?
  5. 5.Write 3.2 × 10⁻⁴ as a decimal. =
  6. 6.Write 1.7 × 10⁻⁴ as a decimal. =
  7. 7.1.8 × 10³ =
  8. 8.What is the value of 3⁴? =
  9. 9.What is the value of 2³ × 2⁻⁵? =
  10. 10.What is the value of 2¹ × 2⁻³? =
  11. 11.What is the value of 8⁴? =
  12. 12.Write 4.9 × 10⁻¹ as a decimal. =
  13. 13.Write 8 × 10⁻² as a decimal. =
  14. 14.Write 5.2 × 10⁻⁴ as a decimal. =
  15. 15.Write 2,30,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  16. 16.What is the value of 2⁻² (as a fraction)? =
  17. 17.Write 2.4 × 10⁻¹ as a decimal. =
  18. 18.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  19. 19.What is the value of 2⁵? =
  20. 20.Write 3.9 × 10⁻¹ as a decimal. =
  21. 21.Write 3.9 × 10⁻³ as a decimal. =
  22. 22.3.9 × 10⁶ =
  23. 23.What is the value of 3⁸? =
  24. 24.Write 6⁷ × 6⁶ as a single power 6ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻¹? =
  26. 26.What is the value of 8⁻¹ (as a fraction)? =
  27. 27.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  28. 28.Write 6.1 × 10⁻³ as a decimal. =
  29. 29.What is the value of 5³? =
  30. 30.Write 2.1 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 2⁵ × 2⁻⁵? =
  32. 32.What is the value of 5⁵ × 5⁻²? =
  33. 33.Write 5.2 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2⁴? =
  35. 35.What is the value of 10³ × 10⁻¹? =
  36. 36.Write 5.5 × 10⁻² as a decimal. =
  37. 37.1.4 × 10⁷ =
  38. 38.What is the value of 5² × 5⁻⁶? =
  39. 39.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
  40. 40.Write 2.5 × 10⁻⁴ as a decimal. =

Answer key

  1. 1/32
  2. 0.00037
  3. 0.004
  4. 6
  5. 0.00032
  6. 0.00017
  7. 1800
  8. 81
  9. 1/4
  10. 1/4
  11. 4096
  12. 0.49
  13. 0.08
  14. 0.00052
  15. 7
  16. 1/4
  17. 0.24
  18. 10
  19. 32
  20. 0.39
  21. 0.0039
  22. 3900000
  23. 6561
  24. 13
  25. 32
  26. 1/8
  27. 3
  28. 0.0061
  29. 125
  30. 0.21
  31. 1
  32. 125
  33. 0.52
  34. 16
  35. 100
  36. 0.055
  37. 14000000
  38. 1/625
  39. 5
  40. 0.00025

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