← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 390 · 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 × 2⁻⁴? =
  2. 2.What is the value of 3⁻⁵ (as a fraction)? =
  3. 3.Write 1.5 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 5³ × 5⁻⁵? =
  5. 5.Write 780 in standard form as 7.8 × 10ⁿ. What is n?
  6. 6.What is the value of 5⁵ × 5⁻¹? =
  7. 7.What is the value of 5¹ × 5⁻¹? =
  8. 8.What is the value of (1/5)⁻¹? =
  9. 9.2.6 × 10² =
  10. 10.Write 3.6 × 10⁻² as a decimal. =
  11. 11.What is the value of 2⁻⁴ (as a fraction)? =
  12. 12.Write 1.2 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 5² × 5⁻¹? =
  14. 14.6.2 × 10⁵ =
  15. 15.Write 3.8 × 10⁻³ as a decimal. =
  16. 16.2 × 10⁴ =
  17. 17.Write (6⁶)⁷ as a single power 6ⁿ. What is n?
  18. 18.Write 5.8 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2⁻⁸ (as a fraction)? =
  20. 20.Write 8¹¹ ÷ 8² as a single power 8ⁿ. What is n?
  21. 21.What is the value of 2² × 2⁻¹? =
  22. 22.Write 2.1 × 10⁻² as a decimal. =
  23. 23.What is the value of 10⁵? =
  24. 24.What is the value of 2²? =
  25. 25.Write 3.7 × 10⁻² as a decimal. =
  26. 26.Write 7.1 × 10⁻² as a decimal. =
  27. 27.What is the value of (1/7)⁻¹? =
  28. 28.Write 3 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 2⁻⁶ (as a fraction)? =
  30. 30.Write (6⁴)⁵ as a single power 6ⁿ. What is n?
  31. 31.Write 9,60,000 in standard form as 9.6 × 10ⁿ. What is n?
  32. 32.Write 4⁷ × 4⁸ as a single power 4ⁿ. What is n?
  33. 33.Write 2 × 10⁻¹ as a decimal. =
  34. 34.Write 23,000 in standard form as 2.3 × 10ⁿ. What is n?
  35. 35.Write 2.9 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 3³? =
  37. 37.What is the value of 2¹⁶? =
  38. 38.Write 2.2 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 7⁻² (as a fraction)? =
  40. 40.What is the value of 9⁻³ (as a fraction)? =

Answer key

  1. 2
  2. 1/243
  3. 0.00015
  4. 1/25
  5. 2
  6. 625
  7. 1
  8. 5
  9. 260
  10. 0.036
  11. 1/16
  12. 0.12
  13. 5
  14. 620000
  15. 0.0038
  16. 20000
  17. 42
  18. 0.0058
  19. 1/256
  20. 9
  21. 2
  22. 0.021
  23. 100000
  24. 4
  25. 0.037
  26. 0.071
  27. 7
  28. 0.3
  29. 1/64
  30. 20
  31. 5
  32. 15
  33. 0.2
  34. 4
  35. 0.00029
  36. 27
  37. 65536
  38. 0.00022
  39. 1/49
  40. 1/729

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