← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 54 · 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 (5⁸)⁶ as a single power 5ⁿ. What is n?
  2. 2.Write 4⁵ × 4⁸ as a single power 4ⁿ. What is n?
  3. 3.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  4. 4.Write 2¹¹ ÷ 2⁸ as a single power 2ⁿ. What is n?
  5. 5.Write 80,00,000 in standard form as 8 × 10ⁿ. What is n?
  6. 6.7.4 × 10⁶ =
  7. 7.Write 3.9 × 10⁻² as a decimal. =
  8. 8.Write 6.8 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 9⁻¹ (as a fraction)? =
  10. 10.What is the value of 10⁴? =
  11. 11.What is the value of 2¹⁴? =
  12. 12.Write 5,500 in standard form as 5.5 × 10ⁿ. What is n?
  13. 13.Write 3¹² ÷ 3⁸ as a single power 3ⁿ. What is n?
  14. 14.What is the value of 2¹¹? =
  15. 15.What is the value of 10⁻² (as a fraction)? =
  16. 16.Write 1.7 × 10⁻³ as a decimal. =
  17. 17.What is the value of 6⁻¹ (as a fraction)? =
  18. 18.What is the value of 4⁶? =
  19. 19.Write 8³ × 8³ as a single power 8ⁿ. What is n?
  20. 20.Write 230 in standard form as 2.3 × 10ⁿ. What is n?
  21. 21.9.5 × 10² =
  22. 22.What is the value of 5¹ × 5⁻⁴? =
  23. 23.7.8 × 10³ =
  24. 24.Write 2³ × 2⁴ as a single power 2ⁿ. What is n?
  25. 25.Write 9⁹ × 9³ as a single power 9ⁿ. What is n?
  26. 26.What is the value of 3⁻¹ (as a fraction)? =
  27. 27.Write 5¹² ÷ 5³ as a single power 5ⁿ. What is n?
  28. 28.Write 6¹¹ ÷ 6⁷ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 3² × 3⁻⁴? =
  30. 30.What is the value of 2¹⁰? =
  31. 31.What is the value of 2² × 2⁻²? =
  32. 32.Write 7.4 × 10⁻³ as a decimal. =
  33. 33.Write 1.1 × 10⁻¹ as a decimal. =
  34. 34.Write (3⁷)⁸ as a single power 3ⁿ. What is n?
  35. 35.2.4 × 10⁵ =
  36. 36.Write 2.1 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 3⁻⁴ (as a fraction)? =
  38. 38.Write 5.2 × 10⁻¹ as a decimal. =
  39. 39.4.4 × 10⁵ =
  40. 40.Write 6² × 6⁴ as a single power 6ⁿ. What is n?

Answer key

  1. 48
  2. 13
  3. 3
  4. 3
  5. 6
  6. 7400000
  7. 0.039
  8. 0.00068
  9. 1/9
  10. 10000
  11. 16384
  12. 3
  13. 4
  14. 2048
  15. 1/100
  16. 0.0017
  17. 1/6
  18. 4096
  19. 6
  20. 2
  21. 950
  22. 1/125
  23. 7800
  24. 7
  25. 12
  26. 1/3
  27. 9
  28. 4
  29. 1/9
  30. 1024
  31. 1
  32. 0.0074
  33. 0.11
  34. 56
  35. 240000
  36. 0.21
  37. 1/81
  38. 0.52
  39. 440000
  40. 6

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