← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 848 · 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 (7⁸)³ as a single power 7ⁿ. What is n?
  2. 2.4.9 × 10⁴ =
  3. 3.What is the value of (7/9)⁻¹? =
  4. 4.Write 58,000 in standard form as 5.8 × 10ⁿ. What is n?
  5. 5.Write (3⁹)⁷ as a single power 3ⁿ. What is n?
  6. 6.Write 2.5 × 10⁻² as a decimal. =
  7. 7.What is the value of 4⁻¹ (as a fraction)? =
  8. 8.What is the value of 5⁵? =
  9. 9.What is the value of 2⁵ × 2⁻⁵? =
  10. 10.What is the value of (1/4)⁻²? =
  11. 11.What is the value of (1/7)⁻²? =
  12. 12.Write 8,50,000 in standard form as 8.5 × 10ⁿ. What is n?
  13. 13.Write 7,40,000 in standard form as 7.4 × 10ⁿ. What is n?
  14. 14.Write 5.8 × 10⁻³ as a decimal. =
  15. 15.What is the value of 10⁵ × 10⁻²? =
  16. 16.What is the value of (4/5)⁻¹? =
  17. 17.8 × 10⁴ =
  18. 18.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  19. 19.Write (4⁵)² as a single power 4ⁿ. What is n?
  20. 20.Write 5⁸ × 5³ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 2¹ × 2⁻⁴? =
  22. 22.What is the value of 10² × 10⁻⁴? =
  23. 23.Write (7²)³ as a single power 7ⁿ. What is n?
  24. 24.Write 4¹⁸ ÷ 4⁹ as a single power 4ⁿ. What is n?
  25. 25.8.5 × 10⁴ =
  26. 26.What is the value of 7³? =
  27. 27.Write 8⁹ × 8⁸ as a single power 8ⁿ. What is n?
  28. 28.What is the value of (1/7)⁻¹? =
  29. 29.What is the value of 2⁹? =
  30. 30.What is the value of 10⁴? =
  31. 31.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 2¹⁰? =
  33. 33.7.8 × 10⁵ =
  34. 34.What is the value of (1/5)⁻¹? =
  35. 35.What is the value of 3³ × 3⁻¹? =
  36. 36.What is the value of 8³? =
  37. 37.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  38. 38.Write 2¹² ÷ 2³ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 2⁶? =
  40. 40.2.6 × 10³ =

Answer key

  1. 24
  2. 49000
  3. 9/7
  4. 4
  5. 63
  6. 0.025
  7. 1/4
  8. 3125
  9. 1
  10. 16
  11. 49
  12. 5
  13. 5
  14. 0.0058
  15. 1000
  16. 5/4
  17. 80000
  18. 3
  19. 10
  20. 11
  21. 1/8
  22. 1/100
  23. 6
  24. 9
  25. 85000
  26. 343
  27. 17
  28. 7
  29. 512
  30. 10000
  31. 7
  32. 1024
  33. 780000
  34. 5
  35. 9
  36. 512
  37. 13
  38. 9
  39. 64
  40. 2600

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