← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 208 · 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 2.9 × 10⁻³ as a decimal. =
  2. 2.What is the value of 3⁴ × 3⁻⁶? =
  3. 3.Write (6⁴)² as a single power 6ⁿ. What is n?
  4. 4.Write 2.7 × 10⁻⁴ as a decimal. =
  5. 5.Write 62,000 in standard form as 6.2 × 10ⁿ. What is n?
  6. 6.Write 7⁵ × 7⁷ as a single power 7ⁿ. What is n?
  7. 7.Write 8.8 × 10⁻¹ as a decimal. =
  8. 8.Write 4.4 × 10⁻² as a decimal. =
  9. 9.Write 670 in standard form as 6.7 × 10ⁿ. What is n?
  10. 10.1.5 × 10² =
  11. 11.What is the value of 10²? =
  12. 12.Write 8.6 × 10⁻³ as a decimal. =
  13. 13.What is the value of (4/5)⁻²? =
  14. 14.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
  15. 15.Write 4⁴ × 4⁸ as a single power 4ⁿ. What is n?
  16. 16.Write 2.3 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 3⁵? =
  18. 18.Write 4⁹ × 4⁴ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 10⁻³ (as a fraction)? =
  20. 20.What is the value of 2⁶? =
  21. 21.What is the value of 2⁵ × 2⁻⁵? =
  22. 22.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  23. 23.Write (2⁹)² as a single power 2ⁿ. What is n?
  24. 24.8.3 × 10² =
  25. 25.What is the value of (4/5)⁻¹? =
  26. 26.Write 5⁴ × 5² as a single power 5ⁿ. What is n?
  27. 27.Write 3⁷ × 3⁵ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 7⁴? =
  29. 29.Write 3⁹ × 3³ as a single power 3ⁿ. What is n?
  30. 30.What is the value of 6²? =
  31. 31.What is the value of 2⁻² (as a fraction)? =
  32. 32.What is the value of (6/7)⁻²? =
  33. 33.Write 2⁸ × 2⁴ as a single power 2ⁿ. What is n?
  34. 34.What is the value of 10⁻² (as a fraction)? =
  35. 35.What is the value of 2⁴? =
  36. 36.Write 6 × 10⁻⁴ as a decimal. =
  37. 37.Write 4⁶ × 4⁵ as a single power 4ⁿ. What is n?
  38. 38.Write 9² × 9² as a single power 9ⁿ. What is n?
  39. 39.What is the value of 10⁵? =
  40. 40.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?

Answer key

  1. 0.0029
  2. 1/9
  3. 8
  4. 0.00027
  5. 4
  6. 12
  7. 0.88
  8. 0.044
  9. 2
  10. 150
  11. 100
  12. 0.0086
  13. 25/16
  14. 4
  15. 12
  16. 0.00023
  17. 243
  18. 13
  19. 1/1000
  20. 64
  21. 1
  22. 6
  23. 18
  24. 830
  25. 5/4
  26. 6
  27. 12
  28. 2401
  29. 12
  30. 36
  31. 1/4
  32. 49/36
  33. 12
  34. 1/100
  35. 16
  36. 0.0006
  37. 11
  38. 4
  39. 100000
  40. 7

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