← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 43 · 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 1.8 × 10⁻¹ as a decimal. =
  2. 2.9.2 × 10⁵ =
  3. 3.2.8 × 10⁴ =
  4. 4.What is the value of 2⁻⁹ (as a fraction)? =
  5. 5.Write 2.6 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 5⁶ × 5⁻²? =
  7. 7.Write (4⁹)⁵ as a single power 4ⁿ. What is n?
  8. 8.Write 1.7 × 10⁻³ as a decimal. =
  9. 9.What is the value of 10⁶ × 10⁻⁵? =
  10. 10.What is the value of 10¹ × 10⁻²? =
  11. 11.Write 8⁵ × 8⁴ as a single power 8ⁿ. What is n?
  12. 12.What is the value of 4²? =
  13. 13.What is the value of 10⁵ × 10⁻⁴? =
  14. 14.Write 8.3 × 10⁻¹ as a decimal. =
  15. 15.Write 3 × 10⁻² as a decimal. =
  16. 16.What is the value of 8⁻² (as a fraction)? =
  17. 17.Write 9.8 × 10⁻¹ as a decimal. =
  18. 18.What is the value of (5/9)⁻¹? =
  19. 19.Write 5¹¹ ÷ 5² as a single power 5ⁿ. What is n?
  20. 20.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
  21. 21.What is the value of 3³ × 3⁻³? =
  22. 22.What is the value of 3⁸? =
  23. 23.Write 7⁷ ÷ 7⁴ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 5⁴ × 5⁻¹? =
  25. 25.Write 2.7 × 10⁻¹ as a decimal. =
  26. 26.Write 2¹³ ÷ 2⁴ as a single power 2ⁿ. What is n?
  27. 27.What is the value of 6²? =
  28. 28.What is the value of 2² × 2⁻³? =
  29. 29.What is the value of 3⁶? =
  30. 30.3.3 × 10³ =
  31. 31.What is the value of 3⁻¹ (as a fraction)? =
  32. 32.What is the value of (2/7)⁻²? =
  33. 33.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
  34. 34.What is the value of (1/6)⁻²? =
  35. 35.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  36. 36.Write 3³ × 3² as a single power 3ⁿ. What is n?
  37. 37.What is the value of 5¹ × 5⁻¹? =
  38. 38.What is the value of 3⁴? =
  39. 39.What is the value of 10³ × 10⁻³? =
  40. 40.What is the value of 2¹³? =

Answer key

  1. 0.18
  2. 920000
  3. 28000
  4. 1/512
  5. 0.26
  6. 625
  7. 45
  8. 0.0017
  9. 10
  10. 1/10
  11. 9
  12. 16
  13. 10
  14. 0.83
  15. 0.03
  16. 1/64
  17. 0.98
  18. 9/5
  19. 9
  20. 6
  21. 1
  22. 6561
  23. 3
  24. 125
  25. 0.27
  26. 9
  27. 36
  28. 1/2
  29. 729
  30. 3300
  31. 1/3
  32. 49/4
  33. 4
  34. 36
  35. 6
  36. 5
  37. 1
  38. 81
  39. 1
  40. 8192

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