← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 570 · 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 × 10⁻² as a decimal. =
  2. 2.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  3. 3.8.4 × 10⁵ =
  4. 4.What is the value of 2⁴ × 2⁻⁴? =
  5. 5.Write 3¹⁰ ÷ 3⁶ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 6⁻¹ (as a fraction)? =
  7. 7.Write (8⁹)⁶ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 9³? =
  9. 9.What is the value of 2⁶ × 2⁻²? =
  10. 10.Write 4³ × 4⁴ as a single power 4ⁿ. What is n?
  11. 11.What is the value of 2⁹? =
  12. 12.What is the value of 10⁴ × 10⁻²? =
  13. 13.What is the value of 9⁻² (as a fraction)? =
  14. 14.5.1 × 10⁶ =
  15. 15.What is the value of 10² × 10⁻⁵? =
  16. 16.What is the value of 4⁷? =
  17. 17.What is the value of 5⁵ × 5⁻³? =
  18. 18.What is the value of 3⁶? =
  19. 19.Write 5.8 × 10⁻¹ as a decimal. =
  20. 20.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  21. 21.1.7 × 10⁷ =
  22. 22.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  23. 23.Write 2.1 × 10⁻² as a decimal. =
  24. 24.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  25. 25.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  26. 26.What is the value of 3⁷? =
  27. 27.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  28. 28.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  29. 29.What is the value of (5/6)⁻²? =
  30. 30.What is the value of 8⁴? =
  31. 31.Write 6.6 × 10⁻⁴ as a decimal. =
  32. 32.4.1 × 10⁵ =
  33. 33.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  34. 34.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?
  35. 35.Write 6.9 × 10⁻³ as a decimal. =
  36. 36.What is the value of 3⁻⁶ (as a fraction)? =
  37. 37.Write 7.9 × 10⁻² as a decimal. =
  38. 38.What is the value of 4²? =
  39. 39.What is the value of 10⁴? =
  40. 40.What is the value of (2/5)⁻²? =

Answer key

  1. 0.04
  2. 8
  3. 840000
  4. 1
  5. 4
  6. 1/6
  7. 54
  8. 729
  9. 16
  10. 7
  11. 512
  12. 100
  13. 1/81
  14. 5100000
  15. 1/1000
  16. 16384
  17. 25
  18. 729
  19. 0.58
  20. 11
  21. 17000000
  22. 12
  23. 0.021
  24. 2
  25. 8
  26. 2187
  27. 3
  28. 11
  29. 36/25
  30. 4096
  31. 0.00066
  32. 410000
  33. 8
  34. 14
  35. 0.0069
  36. 1/729
  37. 0.079
  38. 16
  39. 10000
  40. 25/4

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