← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 719 · 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 5 × 10⁻² as a decimal. =
  2. 2.What is the value of 10⁶ × 10⁻⁵? =
  3. 3.What is the value of 2⁻³ (as a fraction)? =
  4. 4.What is the value of 10²? =
  5. 5.What is the value of 10¹ × 10⁻⁴? =
  6. 6.6.4 × 10⁶ =
  7. 7.What is the value of 2³ × 2⁻³? =
  8. 8.Write 3.5 × 10⁻² as a decimal. =
  9. 9.What is the value of 5⁴? =
  10. 10.What is the value of (3/8)⁻²? =
  11. 11.Write 6.7 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 2¹²? =
  13. 13.Write 6.9 × 10⁻² as a decimal. =
  14. 14.What is the value of 6⁴? =
  15. 15.What is the value of 2¹⁶? =
  16. 16.Write (4⁴)² as a single power 4ⁿ. What is n?
  17. 17.Write (2⁴)² as a single power 2ⁿ. What is n?
  18. 18.What is the value of 2⁵ × 2⁻⁵? =
  19. 19.Write 4.9 × 10⁻² as a decimal. =
  20. 20.What is the value of 6⁵? =
  21. 21.Write 5⁹ × 5⁵ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 5² × 5⁻¹? =
  23. 23.What is the value of 6²? =
  24. 24.What is the value of 6⁶? =
  25. 25.What is the value of 5²? =
  26. 26.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  27. 27.Write 2,500 in standard form as 2.5 × 10ⁿ. What is n?
  28. 28.What is the value of 5⁷? =
  29. 29.What is the value of 9⁻³ (as a fraction)? =
  30. 30.9.1 × 10⁶ =
  31. 31.Write 34,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  32. 32.What is the value of 10⁵ × 10⁻⁵? =
  33. 33.What is the value of 3⁻⁵ (as a fraction)? =
  34. 34.Write 2³ × 2² as a single power 2ⁿ. What is n?
  35. 35.What is the value of 2⁻⁶ (as a fraction)? =
  36. 36.What is the value of 5³? =
  37. 37.Write 9.1 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 10³ × 10⁻²? =
  39. 39.What is the value of (3/4)⁻¹? =
  40. 40.Write 5,000 in standard form as 5 × 10ⁿ. What is n?

Answer key

  1. 0.05
  2. 10
  3. 1/8
  4. 100
  5. 1/1000
  6. 6400000
  7. 1
  8. 0.035
  9. 625
  10. 64/9
  11. 0.00067
  12. 4096
  13. 0.069
  14. 1296
  15. 65536
  16. 8
  17. 8
  18. 1
  19. 0.049
  20. 7776
  21. 14
  22. 5
  23. 36
  24. 46656
  25. 25
  26. 8
  27. 3
  28. 78125
  29. 1/729
  30. 9100000
  31. 6
  32. 1
  33. 1/243
  34. 5
  35. 1/64
  36. 125
  37. 0.91
  38. 10
  39. 4/3
  40. 3

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