← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 827 · 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 5⁷ ÷ 5⁵ as a single power 5ⁿ. What is n?
  2. 2.What is the value of 9⁻² (as a fraction)? =
  3. 3.What is the value of 10² × 10⁻¹? =
  4. 4.What is the value of 10⁻¹ (as a fraction)? =
  5. 5.Write 7.3 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 2⁻¹ (as a fraction)? =
  7. 7.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  8. 8.What is the value of 8³? =
  9. 9.Write 2¹⁴ ÷ 2⁷ as a single power 2ⁿ. What is n?
  10. 10.What is the value of 2⁴ × 2⁻⁴? =
  11. 11.Write (2⁵)⁶ as a single power 2ⁿ. What is n?
  12. 12.Write 6¹⁰ ÷ 6³ as a single power 6ⁿ. What is n?
  13. 13.What is the value of 2⁻⁷ (as a fraction)? =
  14. 14.What is the value of 3³? =
  15. 15.What is the value of 2²? =
  16. 16.Write 5.2 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 2⁻⁶ (as a fraction)? =
  18. 18.What is the value of 2³ × 2⁻²? =
  19. 19.Write 9.6 × 10⁻² as a decimal. =
  20. 20.6.5 × 10⁴ =
  21. 21.What is the value of 5⁶? =
  22. 22.Write 4⁴ ÷ 4² as a single power 4ⁿ. What is n?
  23. 23.9.5 × 10⁴ =
  24. 24.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  25. 25.Write 8.2 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of (1/4)⁻¹? =
  27. 27.What is the value of 2⁶ × 2⁻²? =
  28. 28.What is the value of 5⁵ × 5⁻⁴? =
  29. 29.Write (5⁷)⁴ as a single power 5ⁿ. What is n?
  30. 30.What is the value of 2⁵ × 2⁻³? =
  31. 31.What is the value of 5⁵ × 5⁻²? =
  32. 32.Write 8.9 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 10⁵? =
  34. 34.6 × 10⁴ =
  35. 35.What is the value of 3⁴ × 3⁻²? =
  36. 36.What is the value of 6⁶? =
  37. 37.What is the value of (3/4)⁻¹? =
  38. 38.What is the value of 7³? =
  39. 39.Write 5 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 2⁴ × 2⁻⁶? =

Answer key

  1. 2
  2. 1/81
  3. 10
  4. 1/10
  5. 0.73
  6. 1/2
  7. 3
  8. 512
  9. 7
  10. 1
  11. 30
  12. 7
  13. 1/128
  14. 27
  15. 4
  16. 0.00052
  17. 1/64
  18. 2
  19. 0.096
  20. 65000
  21. 15625
  22. 2
  23. 95000
  24. 3
  25. 0.00082
  26. 4
  27. 16
  28. 5
  29. 28
  30. 4
  31. 125
  32. 0.89
  33. 100000
  34. 60000
  35. 9
  36. 46656
  37. 4/3
  38. 343
  39. 0.5
  40. 1/4

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