← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 665 · 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 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  2. 2.What is the value of 3³ × 3⁻⁵? =
  3. 3.5.1 × 10³ =
  4. 4.Write (6⁴)⁵ as a single power 6ⁿ. What is n?
  5. 5.Write 2.8 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 10⁵ × 10⁻¹? =
  7. 7.What is the value of 3¹ × 3⁻¹? =
  8. 8.What is the value of (3/8)⁻¹? =
  9. 9.What is the value of 2⁸? =
  10. 10.What is the value of (1/5)⁻¹? =
  11. 11.Write 32,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  12. 12.What is the value of 2⁻⁹ (as a fraction)? =
  13. 13.What is the value of 2⁴ × 2⁻⁶? =
  14. 14.What is the value of 5² × 5⁻⁴? =
  15. 15.Write 8¹⁷ ÷ 8⁸ as a single power 8ⁿ. What is n?
  16. 16.Write 7⁶ × 7⁷ as a single power 7ⁿ. What is n?
  17. 17.5.4 × 10⁵ =
  18. 18.5.2 × 10⁵ =
  19. 19.Write 6.9 × 10⁻² as a decimal. =
  20. 20.Write 6.5 × 10⁻⁴ as a decimal. =
  21. 21.Write 6³ × 6² as a single power 6ⁿ. What is n?
  22. 22.Write 1,100 in standard form as 1.1 × 10ⁿ. What is n?
  23. 23.What is the value of 3¹ × 3⁻⁵? =
  24. 24.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
  25. 25.Write 2¹⁵ ÷ 2⁹ as a single power 2ⁿ. What is n?
  26. 26.2.6 × 10³ =
  27. 27.What is the value of 3⁻³ (as a fraction)? =
  28. 28.What is the value of 5⁻⁴ (as a fraction)? =
  29. 29.Write (5⁹)⁴ as a single power 5ⁿ. What is n?
  30. 30.What is the value of 8⁵? =
  31. 31.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  32. 32.Write 9.7 × 10⁻² as a decimal. =
  33. 33.What is the value of 10²? =
  34. 34.Write 1.3 × 10⁻² as a decimal. =
  35. 35.3.7 × 10³ =
  36. 36.Write 59,000 in standard form as 5.9 × 10ⁿ. What is n?
  37. 37.What is the value of 7⁵? =
  38. 38.3.6 × 10³ =
  39. 39.Write 3.4 × 10⁻² as a decimal. =
  40. 40.Write 3.2 × 10⁻³ as a decimal. =

Answer key

  1. 6
  2. 1/9
  3. 5100
  4. 20
  5. 0.00028
  6. 10000
  7. 1
  8. 8/3
  9. 256
  10. 5
  11. 6
  12. 1/512
  13. 1/4
  14. 1/25
  15. 9
  16. 13
  17. 540000
  18. 520000
  19. 0.069
  20. 0.00065
  21. 5
  22. 3
  23. 1/81
  24. 2
  25. 6
  26. 2600
  27. 1/27
  28. 1/625
  29. 36
  30. 32768
  31. 10
  32. 0.097
  33. 100
  34. 0.013
  35. 3700
  36. 4
  37. 16807
  38. 3600
  39. 0.034
  40. 0.0032

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