← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 759 · 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. 1.6.1 × 10⁵ =
  2. 2.Write 6⁴ × 6⁵ as a single power 6ⁿ. What is n?
  3. 3.Write 6.6 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 10⁻¹ (as a fraction)? =
  5. 5.What is the value of (3/5)⁻¹? =
  6. 6.Write 6¹² ÷ 6⁴ as a single power 6ⁿ. What is n?
  7. 7.What is the value of (1/9)⁻²? =
  8. 8.Write 4¹¹ ÷ 4³ as a single power 4ⁿ. What is n?
  9. 9.Write 7.3 × 10⁻¹ as a decimal. =
  10. 10.Write 1.1 × 10⁻² as a decimal. =
  11. 11.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  12. 12.What is the value of 2³ × 2⁻⁶? =
  13. 13.4.3 × 10² =
  14. 14.What is the value of 2¹ × 2⁻⁶? =
  15. 15.Write 2 × 10⁻⁴ as a decimal. =
  16. 16.Write 7 × 10⁻⁴ as a decimal. =
  17. 17.Write 7.3 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 2⁻⁷ (as a fraction)? =
  19. 19.What is the value of 2¹¹? =
  20. 20.What is the value of 3³ × 3⁻⁶? =
  21. 21.2.2 × 10² =
  22. 22.Write 4¹⁰ ÷ 4⁷ as a single power 4ⁿ. What is n?
  23. 23.5.2 × 10³ =
  24. 24.Write (3²)⁶ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 3⁴ × 3⁻⁶? =
  26. 26.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  27. 27.What is the value of 7⁻² (as a fraction)? =
  28. 28.Write 8¹⁴ ÷ 8⁶ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 2⁴ × 2⁻⁴? =
  30. 30.Write (2⁹)⁵ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 10⁵ × 10⁻²? =
  32. 32.What is the value of (5/9)⁻¹? =
  33. 33.What is the value of 2⁻⁶ (as a fraction)? =
  34. 34.What is the value of 5⁻³ (as a fraction)? =
  35. 35.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  36. 36.What is the value of 8⁻¹ (as a fraction)? =
  37. 37.What is the value of 3⁵ × 3⁻²? =
  38. 38.Write 4,10,00,000 in standard form as 4.1 × 10ⁿ. What is n?
  39. 39.9.9 × 10⁷ =
  40. 40.What is the value of 3⁻³ (as a fraction)? =

Answer key

  1. 610000
  2. 9
  3. 0.66
  4. 1/10
  5. 5/3
  6. 8
  7. 81
  8. 8
  9. 0.73
  10. 0.011
  11. 7
  12. 1/8
  13. 430
  14. 1/32
  15. 0.0002
  16. 0.0007
  17. 0.00073
  18. 1/128
  19. 2048
  20. 1/27
  21. 220
  22. 3
  23. 5200
  24. 12
  25. 1/9
  26. 2
  27. 1/49
  28. 8
  29. 1
  30. 45
  31. 1000
  32. 9/5
  33. 1/64
  34. 1/125
  35. 3
  36. 1/8
  37. 27
  38. 7
  39. 99000000
  40. 1/27

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