← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 930 · 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 3⁸? =
  2. 2.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  3. 3.Write (4²)² as a single power 4ⁿ. What is n?
  4. 4.What is the value of 3⁻⁵ (as a fraction)? =
  5. 5.Write 2 × 10⁻³ as a decimal. =
  6. 6.Write 5.9 × 10⁻² as a decimal. =
  7. 7.What is the value of 3⁻¹ (as a fraction)? =
  8. 8.Write 2.4 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 3⁴ × 3⁻⁴? =
  10. 10.4.6 × 10⁵ =
  11. 11.What is the value of 10⁵ × 10⁻³? =
  12. 12.Write 1,700 in standard form as 1.7 × 10ⁿ. What is n?
  13. 13.Write 3.2 × 10⁻⁴ as a decimal. =
  14. 14.Write 3,80,000 in standard form as 3.8 × 10ⁿ. What is n?
  15. 15.What is the value of 10⁵? =
  16. 16.What is the value of (1/7)⁻²? =
  17. 17.1.9 × 10² =
  18. 18.What is the value of 8⁻² (as a fraction)? =
  19. 19.What is the value of 3¹ × 3⁻⁵? =
  20. 20.Write 8,100 in standard form as 8.1 × 10ⁿ. What is n?
  21. 21.What is the value of 2⁻² (as a fraction)? =
  22. 22.What is the value of 2⁸? =
  23. 23.What is the value of 6³? =
  24. 24.Write 9¹² ÷ 9⁸ as a single power 9ⁿ. What is n?
  25. 25.What is the value of 2³? =
  26. 26.9.8 × 10⁴ =
  27. 27.What is the value of 5² × 5⁻⁵? =
  28. 28.What is the value of (7/8)⁻¹? =
  29. 29.Write 1,90,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  30. 30.Write 3⁹ ÷ 3⁴ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 5⁷? =
  32. 32.What is the value of 6⁵? =
  33. 33.Write 7.4 × 10⁻³ as a decimal. =
  34. 34.Write 5,60,00,000 in standard form as 5.6 × 10ⁿ. What is n?
  35. 35.Write (3⁴)⁹ as a single power 3ⁿ. What is n?
  36. 36.1.6 × 10⁶ =
  37. 37.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  38. 38.1.6 × 10⁷ =
  39. 39.What is the value of 3² × 3⁻¹? =
  40. 40.What is the value of 3⁵ × 3⁻³? =

Answer key

  1. 6561
  2. 2
  3. 4
  4. 1/243
  5. 0.002
  6. 0.059
  7. 1/3
  8. 0.24
  9. 1
  10. 460000
  11. 100
  12. 3
  13. 0.00032
  14. 5
  15. 100000
  16. 49
  17. 190
  18. 1/64
  19. 1/81
  20. 3
  21. 1/4
  22. 256
  23. 216
  24. 4
  25. 8
  26. 98000
  27. 1/125
  28. 8/7
  29. 7
  30. 5
  31. 78125
  32. 7776
  33. 0.0074
  34. 7
  35. 36
  36. 1600000
  37. 2
  38. 16000000
  39. 3
  40. 9

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