← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 448 · 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)⁹ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 2⁹? =
  3. 3.Write 1.4 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 10³? =
  5. 5.What is the value of 9⁻¹ (as a fraction)? =
  6. 6.What is the value of (6/7)⁻¹? =
  7. 7.Write 6⁷ × 6⁸ as a single power 6ⁿ. What is n?
  8. 8.Write 640 in standard form as 6.4 × 10ⁿ. What is n?
  9. 9.Write 6¹² ÷ 6⁶ as a single power 6ⁿ. What is n?
  10. 10.What is the value of 3⁷? =
  11. 11.5.5 × 10⁶ =
  12. 12.5.5 × 10⁷ =
  13. 13.Write (5⁴)² as a single power 5ⁿ. What is n?
  14. 14.What is the value of (8/9)⁻¹? =
  15. 15.3 × 10⁷ =
  16. 16.What is the value of 10⁴? =
  17. 17.Write 55,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  18. 18.What is the value of 7³? =
  19. 19.What is the value of 10⁻³ (as a fraction)? =
  20. 20.What is the value of (1/5)⁻²? =
  21. 21.What is the value of 8⁻³ (as a fraction)? =
  22. 22.What is the value of 2⁻⁴ (as a fraction)? =
  23. 23.Write 6.8 × 10⁻² as a decimal. =
  24. 24.3.6 × 10⁶ =
  25. 25.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 4³? =
  27. 27.What is the value of 8⁻² (as a fraction)? =
  28. 28.What is the value of (4/9)⁻²? =
  29. 29.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
  30. 30.Write 7,000 in standard form as 7 × 10ⁿ. What is n?
  31. 31.Write 8,300 in standard form as 8.3 × 10ⁿ. What is n?
  32. 32.2.5 × 10² =
  33. 33.What is the value of 4⁻³ (as a fraction)? =
  34. 34.What is the value of 2⁶ × 2⁻¹? =
  35. 35.What is the value of 7²? =
  36. 36.What is the value of (1/7)⁻¹? =
  37. 37.3.4 × 10⁶ =
  38. 38.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  39. 39.Write 1.3 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 2² × 2⁻¹? =

Answer key

  1. 72
  2. 512
  3. 0.14
  4. 1000
  5. 1/9
  6. 7/6
  7. 15
  8. 2
  9. 6
  10. 2187
  11. 5500000
  12. 55000000
  13. 8
  14. 9/8
  15. 30000000
  16. 10000
  17. 6
  18. 343
  19. 1/1000
  20. 25
  21. 1/512
  22. 1/16
  23. 0.068
  24. 3600000
  25. 48
  26. 64
  27. 1/64
  28. 81/16
  29. 3
  30. 3
  31. 3
  32. 250
  33. 1/64
  34. 32
  35. 49
  36. 7
  37. 3400000
  38. 9
  39. 0.00013
  40. 2

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