← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 615 · 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 6⁵? =
  2. 2.Write 9 × 10⁻² as a decimal. =
  3. 3.What is the value of 2²? =
  4. 4.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  5. 5.What is the value of 2¹⁶? =
  6. 6.What is the value of 10⁴ × 10⁻²? =
  7. 7.Write (7⁷)³ as a single power 7ⁿ. What is n?
  8. 8.What is the value of 3⁵ × 3⁻⁵? =
  9. 9.4.9 × 10⁶ =
  10. 10.What is the value of 2³ × 2⁻²? =
  11. 11.Write (8³)² as a single power 8ⁿ. What is n?
  12. 12.Write 2.4 × 10⁻⁴ as a decimal. =
  13. 13.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?
  14. 14.What is the value of 2⁵? =
  15. 15.What is the value of 5² × 5⁻²? =
  16. 16.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 4⁻³ (as a fraction)? =
  18. 18.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  19. 19.What is the value of 3² × 3⁻⁶? =
  20. 20.1.3 × 10⁶ =
  21. 21.What is the value of 2⁵ × 2⁻⁶? =
  22. 22.Write 85,000 in standard form as 8.5 × 10ⁿ. What is n?
  23. 23.What is the value of 2² × 2⁻²? =
  24. 24.9.7 × 10⁶ =
  25. 25.Write 5⁶ × 5³ as a single power 5ⁿ. What is n?
  26. 26.Write 82,000 in standard form as 8.2 × 10ⁿ. What is n?
  27. 27.What is the value of 2³ × 2⁻⁴? =
  28. 28.What is the value of 2⁸? =
  29. 29.What is the value of 2⁷? =
  30. 30.Write 9,100 in standard form as 9.1 × 10ⁿ. What is n?
  31. 31.What is the value of 3⁻⁶ (as a fraction)? =
  32. 32.What is the value of (1/7)⁻²? =
  33. 33.Write 5 × 10⁻² as a decimal. =
  34. 34.Write 58,000 in standard form as 5.8 × 10ⁿ. What is n?
  35. 35.Write 5.5 × 10⁻³ as a decimal. =
  36. 36.Write 3⁴ × 3³ as a single power 3ⁿ. What is n?
  37. 37.What is the value of 3⁶? =
  38. 38.Write (3⁴)⁴ as a single power 3ⁿ. What is n?
  39. 39.9.5 × 10³ =
  40. 40.5.9 × 10² =

Answer key

  1. 7776
  2. 0.09
  3. 4
  4. 6
  5. 65536
  6. 100
  7. 21
  8. 1
  9. 4900000
  10. 2
  11. 6
  12. 0.00024
  13. 5
  14. 32
  15. 1
  16. 32
  17. 1/64
  18. 3
  19. 1/81
  20. 1300000
  21. 1/2
  22. 4
  23. 1
  24. 9700000
  25. 9
  26. 4
  27. 1/2
  28. 256
  29. 128
  30. 3
  31. 1/729
  32. 49
  33. 0.05
  34. 4
  35. 0.0055
  36. 7
  37. 729
  38. 16
  39. 9500
  40. 590

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