← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 196 · 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 3⁻⁶ (as a fraction)? =
  2. 2.Write 9³ × 9⁴ as a single power 9ⁿ. What is n?
  3. 3.What is the value of 2⁴ × 2⁻²? =
  4. 4.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  5. 5.What is the value of (2/5)⁻¹? =
  6. 6.3.5 × 10⁷ =
  7. 7.What is the value of 6⁻³ (as a fraction)? =
  8. 8.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
  9. 9.What is the value of 4⁻² (as a fraction)? =
  10. 10.Write 5.6 × 10⁻² as a decimal. =
  11. 11.What is the value of 3⁴ × 3⁻²? =
  12. 12.Write 3,20,000 in standard form as 3.2 × 10ⁿ. What is n?
  13. 13.What is the value of 4⁸? =
  14. 14.What is the value of 5⁶ × 5⁻¹? =
  15. 15.What is the value of 3⁴ × 3⁻⁵? =
  16. 16.What is the value of 5³ × 5⁻⁵? =
  17. 17.Write (3⁴)³ as a single power 3ⁿ. What is n?
  18. 18.Write 4.9 × 10⁻¹ as a decimal. =
  19. 19.Write 6² × 6⁸ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 3³? =
  21. 21.Write 9¹⁵ ÷ 9⁷ as a single power 9ⁿ. What is n?
  22. 22.Write 2.4 × 10⁻¹ as a decimal. =
  23. 23.Write 3⁷ ÷ 3⁵ as a single power 3ⁿ. What is n?
  24. 24.What is the value of 2⁶ × 2⁻⁶? =
  25. 25.Write (5⁷)⁶ as a single power 5ⁿ. What is n?
  26. 26.Write (6⁵)⁴ as a single power 6ⁿ. What is n?
  27. 27.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
  28. 28.What is the value of 5² × 5⁻⁴? =
  29. 29.Write 4.5 × 10⁻³ as a decimal. =
  30. 30.5.8 × 10³ =
  31. 31.What is the value of (5/8)⁻²? =
  32. 32.Write 3¹³ ÷ 3⁵ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 3¹ × 3⁻³? =
  34. 34.8.1 × 10⁵ =
  35. 35.What is the value of 3²? =
  36. 36.Write (5⁸)⁵ as a single power 5ⁿ. What is n?
  37. 37.What is the value of 5³ × 5⁻¹? =
  38. 38.What is the value of 3¹ × 3⁻¹? =
  39. 39.What is the value of 7³? =
  40. 40.Write 5 × 10⁻² as a decimal. =

Answer key

  1. 1/729
  2. 7
  3. 4
  4. 12
  5. 5/2
  6. 35000000
  7. 1/216
  8. 7
  9. 1/16
  10. 0.056
  11. 9
  12. 5
  13. 65536
  14. 3125
  15. 1/3
  16. 1/25
  17. 12
  18. 0.49
  19. 10
  20. 27
  21. 8
  22. 0.24
  23. 2
  24. 1
  25. 42
  26. 20
  27. 16
  28. 1/25
  29. 0.0045
  30. 5800
  31. 64/25
  32. 8
  33. 1/9
  34. 810000
  35. 9
  36. 40
  37. 25
  38. 1
  39. 343
  40. 0.05

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