← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 849 · 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 4⁷? =
  2. 2.What is the value of 5⁻² (as a fraction)? =
  3. 3.What is the value of 5²? =
  4. 4.1.3 × 10⁴ =
  5. 5.Write 3¹³ ÷ 3⁹ as a single power 3ⁿ. What is n?
  6. 6.Write 8¹² ÷ 8³ as a single power 8ⁿ. What is n?
  7. 7.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  8. 8.What is the value of 2¹⁶? =
  9. 9.What is the value of 3⁻⁵ (as a fraction)? =
  10. 10.Write 2¹⁸ ÷ 2⁹ as a single power 2ⁿ. What is n?
  11. 11.6.9 × 10⁴ =
  12. 12.What is the value of 3³? =
  13. 13.Write 5⁸ × 5⁷ as a single power 5ⁿ. What is n?
  14. 14.Write 3.4 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 5⁴ × 5⁻⁵? =
  16. 16.1.6 × 10⁵ =
  17. 17.What is the value of 3⁴ × 3⁻⁵? =
  18. 18.What is the value of 3⁴ × 3⁻⁴? =
  19. 19.What is the value of 10¹ × 10⁻⁵? =
  20. 20.What is the value of 3⁻¹ (as a fraction)? =
  21. 21.Write 3.7 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of 8⁴? =
  23. 23.What is the value of 4⁻¹ (as a fraction)? =
  24. 24.Write (8²)⁷ as a single power 8ⁿ. What is n?
  25. 25.Write 8¹² ÷ 8⁹ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 3⁶ × 3⁻¹? =
  27. 27.Write 1.8 × 10⁻³ as a decimal. =
  28. 28.What is the value of 3⁴ × 3⁻²? =
  29. 29.What is the value of 5⁻³ (as a fraction)? =
  30. 30.Write 6⁹ ÷ 6³ as a single power 6ⁿ. What is n?
  31. 31.Write 1.1 × 10⁻¹ as a decimal. =
  32. 32.Write 9⁴ × 9⁴ as a single power 9ⁿ. What is n?
  33. 33.What is the value of (2/3)⁻²? =
  34. 34.5.1 × 10³ =
  35. 35.Write 6.1 × 10⁻³ as a decimal. =
  36. 36.What is the value of 2¹²? =
  37. 37.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
  38. 38.Write 4⁸ ÷ 4⁵ as a single power 4ⁿ. What is n?
  39. 39.Write 2.4 × 10⁻⁴ as a decimal. =
  40. 40.Write 3³ × 3⁹ as a single power 3ⁿ. What is n?

Answer key

  1. 16384
  2. 1/25
  3. 25
  4. 13000
  5. 4
  6. 9
  7. 6
  8. 65536
  9. 1/243
  10. 9
  11. 69000
  12. 27
  13. 15
  14. 0.00034
  15. 1/5
  16. 160000
  17. 1/3
  18. 1
  19. 1/10000
  20. 1/3
  21. 0.00037
  22. 4096
  23. 1/4
  24. 14
  25. 3
  26. 243
  27. 0.0018
  28. 9
  29. 1/125
  30. 6
  31. 0.11
  32. 8
  33. 9/4
  34. 5100
  35. 0.0061
  36. 4096
  37. 9
  38. 3
  39. 0.00024
  40. 12

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