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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 914 · 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 3¹¹ ÷ 3³ as a single power 3ⁿ. What is n?
  2. 2.What is the value of 4⁴? =
  3. 3.5.3 × 10³ =
  4. 4.What is the value of 10⁴ × 10⁻³? =
  5. 5.What is the value of 2⁴ × 2⁻⁵? =
  6. 6.What is the value of (2/9)⁻²? =
  7. 7.What is the value of 3²? =
  8. 8.What is the value of 3¹ × 3⁻⁶? =
  9. 9.4.4 × 10⁵ =
  10. 10.What is the value of 6⁻¹ (as a fraction)? =
  11. 11.What is the value of (6/7)⁻¹? =
  12. 12.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
  13. 13.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  14. 14.4.9 × 10⁶ =
  15. 15.Write 78,000 in standard form as 7.8 × 10ⁿ. What is n?
  16. 16.Write 2.9 × 10⁻¹ as a decimal. =
  17. 17.Write 9.6 × 10⁻³ as a decimal. =
  18. 18.Write 9¹⁶ ÷ 9⁷ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 2³ × 2⁻³? =
  20. 20.Write 6,700 in standard form as 6.7 × 10ⁿ. What is n?
  21. 21.What is the value of 10⁵? =
  22. 22.Write (5⁶)² as a single power 5ⁿ. What is n?
  23. 23.What is the value of 5⁵ × 5⁻⁵? =
  24. 24.Write 5 × 10⁻⁴ as a decimal. =
  25. 25.Write 6,300 in standard form as 6.3 × 10ⁿ. What is n?
  26. 26.5.2 × 10⁷ =
  27. 27.1.3 × 10² =
  28. 28.Write 9.5 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 3³? =
  30. 30.What is the value of 2¹ × 2⁻³? =
  31. 31.What is the value of 2¹ × 2⁻⁵? =
  32. 32.Write 1.9 × 10⁻⁴ as a decimal. =
  33. 33.Write 6.1 × 10⁻² as a decimal. =
  34. 34.Write 2.5 × 10⁻³ as a decimal. =
  35. 35.8.7 × 10⁶ =
  36. 36.What is the value of 2³? =
  37. 37.Write 8¹⁴ ÷ 8⁶ as a single power 8ⁿ. What is n?
  38. 38.Write 8⁷ ÷ 8⁵ as a single power 8ⁿ. What is n?
  39. 39.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  40. 40.What is the value of 2⁻⁶ (as a fraction)? =

Answer key

  1. 8
  2. 256
  3. 5300
  4. 10
  5. 1/2
  6. 81/4
  7. 9
  8. 1/243
  9. 440000
  10. 1/6
  11. 7/6
  12. 9
  13. 4
  14. 4900000
  15. 4
  16. 0.29
  17. 0.0096
  18. 9
  19. 1
  20. 3
  21. 100000
  22. 12
  23. 1
  24. 0.0005
  25. 3
  26. 52000000
  27. 130
  28. 0.95
  29. 27
  30. 1/4
  31. 1/16
  32. 0.00019
  33. 0.061
  34. 0.0025
  35. 8700000
  36. 8
  37. 8
  38. 2
  39. 6
  40. 1/64

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