← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 2 · 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 3⁻⁴ (as a fraction)? =
  2. 2.Write 8⁶ ÷ 8³ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 5¹ × 5⁻²? =
  4. 4.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  5. 5.Write 9.4 × 10⁻¹ as a decimal. =
  6. 6.Write 4² × 4⁵ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 4⁻² (as a fraction)? =
  8. 8.Write 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
  9. 9.What is the value of 5⁴? =
  10. 10.Write 740 in standard form as 7.4 × 10ⁿ. What is n?
  11. 11.Write 9.2 × 10⁻² as a decimal. =
  12. 12.What is the value of 3¹⁰? =
  13. 13.What is the value of 10⁴? =
  14. 14.Write 3¹² ÷ 3⁹ as a single power 3ⁿ. What is n?
  15. 15.What is the value of 7⁵? =
  16. 16.6.1 × 10² =
  17. 17.Write 6⁹ × 6⁹ as a single power 6ⁿ. What is n?
  18. 18.What is the value of 10⁵? =
  19. 19.What is the value of 4⁵? =
  20. 20.Write 1.4 × 10⁻² as a decimal. =
  21. 21.Write 9,80,000 in standard form as 9.8 × 10ⁿ. What is n?
  22. 22.Write 4⁵ × 4² as a single power 4ⁿ. What is n?
  23. 23.What is the value of 2¹⁴? =
  24. 24.Write 7.9 × 10⁻³ as a decimal. =
  25. 25.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  26. 26.What is the value of 4⁻¹ (as a fraction)? =
  27. 27.Write 4¹² ÷ 4³ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 7⁻² (as a fraction)? =
  29. 29.Write 3.4 × 10⁻² as a decimal. =
  30. 30.What is the value of 5¹ × 5⁻³? =
  31. 31.Write (9⁵)⁸ as a single power 9ⁿ. What is n?
  32. 32.3.4 × 10⁵ =
  33. 33.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  34. 34.Write 840 in standard form as 8.4 × 10ⁿ. What is n?
  35. 35.Write 4.6 × 10⁻¹ as a decimal. =
  36. 36.What is the value of (1/8)⁻¹? =
  37. 37.Write 8 × 10⁻⁴ as a decimal. =
  38. 38.Write 6,70,000 in standard form as 6.7 × 10ⁿ. What is n?
  39. 39.Write 5.9 × 10⁻³ as a decimal. =
  40. 40.What is the value of 6⁻³ (as a fraction)? =

Answer key

  1. 1/81
  2. 3
  3. 1/5
  4. 5
  5. 0.94
  6. 7
  7. 1/16
  8. 5
  9. 625
  10. 2
  11. 0.092
  12. 59049
  13. 10000
  14. 3
  15. 16807
  16. 610
  17. 18
  18. 100000
  19. 1024
  20. 0.014
  21. 5
  22. 7
  23. 16384
  24. 0.0079
  25. 3
  26. 1/4
  27. 9
  28. 1/49
  29. 0.034
  30. 1/25
  31. 40
  32. 340000
  33. 48
  34. 2
  35. 0.46
  36. 8
  37. 0.0008
  38. 5
  39. 0.0059
  40. 1/216

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