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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 899 · 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 2¹⁶? =
  2. 2.Write 16,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  3. 3.What is the value of 2⁷? =
  4. 4.Write 5,90,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  5. 5.Write 9.3 × 10⁻² as a decimal. =
  6. 6.What is the value of 2¹ × 2⁻²? =
  7. 7.Write (7²)² as a single power 7ⁿ. What is n?
  8. 8.Write 4.5 × 10⁻² as a decimal. =
  9. 9.What is the value of 3⁶? =
  10. 10.What is the value of 3⁻² (as a fraction)? =
  11. 11.What is the value of 4⁻³ (as a fraction)? =
  12. 12.What is the value of 2⁵? =
  13. 13.What is the value of 8³? =
  14. 14.8.5 × 10⁶ =
  15. 15.Write 8¹⁵ ÷ 8⁸ as a single power 8ⁿ. What is n?
  16. 16.2.8 × 10⁵ =
  17. 17.Write 3¹⁰ ÷ 3⁶ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 5⁴? =
  19. 19.What is the value of 5²? =
  20. 20.Write 6.1 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 6⁶? =
  22. 22.Write 8 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 10⁴ × 10⁻⁶? =
  24. 24.Write 5.6 × 10⁻¹ as a decimal. =
  25. 25.Write 5.6 × 10⁻³ as a decimal. =
  26. 26.What is the value of 3⁷? =
  27. 27.What is the value of 10⁵? =
  28. 28.Write 2.3 × 10⁻³ as a decimal. =
  29. 29.9.1 × 10⁶ =
  30. 30.Write 6³ × 6⁷ as a single power 6ⁿ. What is n?
  31. 31.Write 3.4 × 10⁻⁴ as a decimal. =
  32. 32.Write 6.2 × 10⁻¹ as a decimal. =
  33. 33.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
  34. 34.3 × 10⁵ =
  35. 35.Write 1.8 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 2¹³? =
  37. 37.Write 6.8 × 10⁻¹ as a decimal. =
  38. 38.Write 6⁷ ÷ 6⁴ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 2¹²? =
  40. 40.8.8 × 10² =

Answer key

  1. 65536
  2. 6
  3. 128
  4. 7
  5. 0.093
  6. 1/2
  7. 4
  8. 0.045
  9. 729
  10. 1/9
  11. 1/64
  12. 32
  13. 512
  14. 8500000
  15. 7
  16. 280000
  17. 4
  18. 625
  19. 25
  20. 0.00061
  21. 46656
  22. 0.8
  23. 1/100
  24. 0.56
  25. 0.0056
  26. 2187
  27. 100000
  28. 0.0023
  29. 9100000
  30. 10
  31. 0.00034
  32. 0.62
  33. 7
  34. 300000
  35. 0.18
  36. 8192
  37. 0.68
  38. 3
  39. 4096
  40. 880

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