← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 597 · 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 10⁵? =
  2. 2.What is the value of 5¹ × 5⁻¹? =
  3. 3.What is the value of (1/6)⁻¹? =
  4. 4.What is the value of 5⁷? =
  5. 5.What is the value of 2²? =
  6. 6.What is the value of 9³? =
  7. 7.What is the value of 2⁻¹ (as a fraction)? =
  8. 8.What is the value of 2⁶ × 2⁻¹? =
  9. 9.Write 2.2 × 10⁻³ as a decimal. =
  10. 10.Write 4.2 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 7⁴? =
  12. 12.What is the value of 5⁴? =
  13. 13.What is the value of 2¹ × 2⁻⁵? =
  14. 14.What is the value of 3² × 3⁻⁶? =
  15. 15.What is the value of 10³ × 10⁻³? =
  16. 16.What is the value of (3/4)⁻²? =
  17. 17.What is the value of 2⁵? =
  18. 18.Write (9⁹)² as a single power 9ⁿ. What is n?
  19. 19.Write 3⁸ × 3³ as a single power 3ⁿ. What is n?
  20. 20.Write (3⁸)⁶ as a single power 3ⁿ. What is n?
  21. 21.Write 6.1 × 10⁻² as a decimal. =
  22. 22.5.3 × 10⁷ =
  23. 23.Write 9⁷ ÷ 9³ as a single power 9ⁿ. What is n?
  24. 24.4.5 × 10⁵ =
  25. 25.Write 5.3 × 10⁻¹ as a decimal. =
  26. 26.Write 85,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  27. 27.6.9 × 10⁶ =
  28. 28.What is the value of (1/8)⁻¹? =
  29. 29.Write (2⁹)⁶ as a single power 2ⁿ. What is n?
  30. 30.Write 4² × 4² as a single power 4ⁿ. What is n?
  31. 31.Write 5.8 × 10⁻³ as a decimal. =
  32. 32.What is the value of (5/6)⁻¹? =
  33. 33.Write 1.1 × 10⁻² as a decimal. =
  34. 34.What is the value of 6⁻³ (as a fraction)? =
  35. 35.What is the value of 3⁸? =
  36. 36.Write 1.7 × 10⁻² as a decimal. =
  37. 37.What is the value of 2⁶ × 2⁻⁶? =
  38. 38.What is the value of 2³ × 2⁻²? =
  39. 39.What is the value of 5³ × 5⁻³? =
  40. 40.What is the value of 2⁷? =

Answer key

  1. 100000
  2. 1
  3. 6
  4. 78125
  5. 4
  6. 729
  7. 1/2
  8. 32
  9. 0.0022
  10. 0.00042
  11. 2401
  12. 625
  13. 1/16
  14. 1/81
  15. 1
  16. 16/9
  17. 32
  18. 18
  19. 11
  20. 48
  21. 0.061
  22. 53000000
  23. 4
  24. 450000
  25. 0.53
  26. 6
  27. 6900000
  28. 8
  29. 54
  30. 4
  31. 0.0058
  32. 6/5
  33. 0.011
  34. 1/216
  35. 6561
  36. 0.017
  37. 1
  38. 2
  39. 1
  40. 128

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