← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 877 · 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 4.9 × 10⁻⁴ as a decimal. =
  2. 2.8.2 × 10³ =
  3. 3.What is the value of (2/3)⁻²? =
  4. 4.What is the value of (1/3)⁻¹? =
  5. 5.What is the value of 8⁻² (as a fraction)? =
  6. 6.Write (9⁵)⁸ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 2⁻⁷ (as a fraction)? =
  8. 8.6.6 × 10⁶ =
  9. 9.Write (9²)⁸ as a single power 9ⁿ. What is n?
  10. 10.What is the value of 3⁵ × 3⁻²? =
  11. 11.What is the value of 3³? =
  12. 12.Write (2³)³ as a single power 2ⁿ. What is n?
  13. 13.Write 9.4 × 10⁻⁴ as a decimal. =
  14. 14.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  15. 15.Write 5.1 × 10⁻² as a decimal. =
  16. 16.What is the value of 2² × 2⁻²? =
  17. 17.What is the value of (3/5)⁻¹? =
  18. 18.Write (6⁷)⁵ as a single power 6ⁿ. What is n?
  19. 19.What is the value of 2¹ × 2⁻⁵? =
  20. 20.What is the value of 2⁴ × 2⁻¹? =
  21. 21.7.2 × 10² =
  22. 22.Write 9⁹ × 9⁵ as a single power 9ⁿ. What is n?
  23. 23.Write 36,00,000 in standard form as 3.6 × 10ⁿ. What is n?
  24. 24.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  25. 25.What is the value of (6/7)⁻²? =
  26. 26.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  27. 27.Write 9¹⁰ ÷ 9⁸ as a single power 9ⁿ. What is n?
  28. 28.Write 6⁶ ÷ 6³ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 7⁴? =
  30. 30.What is the value of 10⁴ × 10⁻⁴? =
  31. 31.What is the value of 8⁴? =
  32. 32.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 2⁻⁵ (as a fraction)? =
  34. 34.What is the value of 3³ × 3⁻⁵? =
  35. 35.Write 7¹³ ÷ 7⁹ as a single power 7ⁿ. What is n?
  36. 36.Write 4.1 × 10⁻⁴ as a decimal. =
  37. 37.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  38. 38.Write 5 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 2⁴ × 2⁻²? =
  40. 40.What is the value of 2⁶ × 2⁻⁵? =

Answer key

  1. 0.00049
  2. 8200
  3. 9/4
  4. 3
  5. 1/64
  6. 40
  7. 1/128
  8. 6600000
  9. 16
  10. 27
  11. 27
  12. 9
  13. 0.00094
  14. 3
  15. 0.051
  16. 1
  17. 5/3
  18. 35
  19. 1/16
  20. 8
  21. 720
  22. 14
  23. 6
  24. 13
  25. 49/36
  26. 8
  27. 2
  28. 3
  29. 2401
  30. 1
  31. 4096
  32. 7
  33. 1/32
  34. 1/9
  35. 4
  36. 0.00041
  37. 16
  38. 0.5
  39. 4
  40. 2

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