← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 647 · 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 2⁵ × 2⁻³? =
  2. 2.What is the value of (4/9)⁻²? =
  3. 3.What is the value of 5⁷? =
  4. 4.Write 6¹⁰ ÷ 6⁸ as a single power 6ⁿ. What is n?
  5. 5.Write 60,000 in standard form as 6 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁻⁵ (as a fraction)? =
  7. 7.What is the value of 4⁸? =
  8. 8.What is the value of 2⁷? =
  9. 9.Write 1.1 × 10⁻² as a decimal. =
  10. 10.What is the value of 4⁻² (as a fraction)? =
  11. 11.Write 3.9 × 10⁻¹ as a decimal. =
  12. 12.What is the value of (2/3)⁻²? =
  13. 13.Write (5³)⁹ as a single power 5ⁿ. What is n?
  14. 14.What is the value of (1/3)⁻²? =
  15. 15.What is the value of 9²? =
  16. 16.7.4 × 10⁶ =
  17. 17.What is the value of 9⁴? =
  18. 18.What is the value of (1/3)⁻¹? =
  19. 19.What is the value of (1/5)⁻¹? =
  20. 20.Write 4.2 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 2² × 2⁻⁵? =
  22. 22.Write 9⁴ ÷ 9² as a single power 9ⁿ. What is n?
  23. 23.Write 3 × 10⁻⁴ as a decimal. =
  24. 24.Write (3⁴)³ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 2¹¹? =
  26. 26.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  27. 27.What is the value of 2³ × 2⁻³? =
  28. 28.Write 5.3 × 10⁻² as a decimal. =
  29. 29.2.8 × 10² =
  30. 30.Write 3¹⁷ ÷ 3⁸ as a single power 3ⁿ. What is n?
  31. 31.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  32. 32.Write 3.5 × 10⁻⁴ as a decimal. =
  33. 33.Write 2.9 × 10⁻² as a decimal. =
  34. 34.What is the value of 5⁵ × 5⁻²? =
  35. 35.What is the value of 5¹ × 5⁻²? =
  36. 36.What is the value of 10² × 10⁻¹? =
  37. 37.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  38. 38.What is the value of 3² × 3⁻⁵? =
  39. 39.What is the value of 2⁻³ (as a fraction)? =
  40. 40.What is the value of 2⁻⁴ (as a fraction)? =

Answer key

  1. 4
  2. 81/16
  3. 78125
  4. 2
  5. 4
  6. 1/32
  7. 65536
  8. 128
  9. 0.011
  10. 1/16
  11. 0.39
  12. 9/4
  13. 27
  14. 9
  15. 81
  16. 7400000
  17. 6561
  18. 3
  19. 5
  20. 0.42
  21. 1/8
  22. 2
  23. 0.0003
  24. 12
  25. 2048
  26. 7
  27. 1
  28. 0.053
  29. 280
  30. 9
  31. 4
  32. 0.00035
  33. 0.029
  34. 125
  35. 1/5
  36. 10
  37. 8
  38. 1/27
  39. 1/8
  40. 1/16

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