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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 735 · 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 3⁶? =
  2. 2.Write (8⁹)² as a single power 8ⁿ. What is n?
  3. 3.What is the value of 2⁻² (as a fraction)? =
  4. 4.Write 7.8 × 10⁻² as a decimal. =
  5. 5.What is the value of 5⁶? =
  6. 6.What is the value of 3⁷? =
  7. 7.Write 7.6 × 10⁻³ as a decimal. =
  8. 8.Write 8,90,000 in standard form as 8.9 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁶? =
  10. 10.What is the value of 10⁴ × 10⁻¹? =
  11. 11.Write 1.3 × 10⁻³ as a decimal. =
  12. 12.What is the value of 10²? =
  13. 13.Write 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
  14. 14.Write 77,00,000 in standard form as 7.7 × 10ⁿ. What is n?
  15. 15.Write 2¹⁴ ÷ 2⁸ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 2³? =
  17. 17.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  18. 18.What is the value of 2⁻⁶ (as a fraction)? =
  19. 19.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 2¹²? =
  21. 21.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
  22. 22.Write 9³ × 9⁸ as a single power 9ⁿ. What is n?
  23. 23.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  24. 24.9.7 × 10⁶ =
  25. 25.Write 1.7 × 10⁻² as a decimal. =
  26. 26.What is the value of 2² × 2⁻²? =
  27. 27.2 × 10⁴ =
  28. 28.Write 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
  29. 29.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
  30. 30.Write 8⁷ × 8⁵ as a single power 8ⁿ. What is n?
  31. 31.What is the value of 5⁶ × 5⁻⁵? =
  32. 32.Write 4⁴ × 4⁹ as a single power 4ⁿ. What is n?
  33. 33.Write 7.1 × 10⁻² as a decimal. =
  34. 34.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 3⁶ × 3⁻¹? =
  36. 36.What is the value of 9⁴? =
  37. 37.What is the value of 2¹⁴? =
  38. 38.Write 7.8 × 10⁻⁴ as a decimal. =
  39. 39.Write 9.7 × 10⁻¹ as a decimal. =
  40. 40.Write 4¹⁷ ÷ 4⁸ as a single power 4ⁿ. What is n?

Answer key

  1. 729
  2. 18
  3. 1/4
  4. 0.078
  5. 15625
  6. 2187
  7. 0.0076
  8. 5
  9. 64
  10. 1000
  11. 0.0013
  12. 100
  13. 7
  14. 6
  15. 6
  16. 8
  17. 8
  18. 1/64
  19. 9
  20. 4096
  21. 3
  22. 11
  23. 2
  24. 9700000
  25. 0.017
  26. 1
  27. 20000
  28. 6
  29. 7
  30. 12
  31. 5
  32. 13
  33. 0.071
  34. 6
  35. 243
  36. 6561
  37. 16384
  38. 0.00078
  39. 0.97
  40. 9

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