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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 586 · 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. 1.2.4 × 10⁶ =
  2. 2.Write 2² × 2⁸ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 7⁵? =
  4. 4.Write 6.3 × 10⁻¹ as a decimal. =
  5. 5.Write 6² × 6² as a single power 6ⁿ. What is n?
  6. 6.What is the value of 3³ × 3⁻⁵? =
  7. 7.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
  8. 8.What is the value of 3⁴ × 3⁻¹? =
  9. 9.What is the value of 3³? =
  10. 10.What is the value of 7³? =
  11. 11.What is the value of 2² × 2⁻⁵? =
  12. 12.What is the value of 2⁻⁴ (as a fraction)? =
  13. 13.What is the value of 2³? =
  14. 14.What is the value of 4⁻² (as a fraction)? =
  15. 15.4.3 × 10³ =
  16. 16.8.5 × 10² =
  17. 17.Write 9³ × 9⁵ as a single power 9ⁿ. What is n?
  18. 18.3 × 10⁵ =
  19. 19.What is the value of 2² × 2⁻²? =
  20. 20.Write 300 in standard form as 3 × 10ⁿ. What is n?
  21. 21.What is the value of 10³? =
  22. 22.What is the value of 3⁻⁴ (as a fraction)? =
  23. 23.What is the value of 3²? =
  24. 24.What is the value of 2⁻² (as a fraction)? =
  25. 25.What is the value of 3⁵ × 3⁻²? =
  26. 26.What is the value of 3⁵ × 3⁻¹? =
  27. 27.What is the value of 5⁵ × 5⁻¹? =
  28. 28.Write 9.4 × 10⁻⁴ as a decimal. =
  29. 29.Write 4⁸ × 4⁸ as a single power 4ⁿ. What is n?
  30. 30.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
  31. 31.Write 6.9 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 5² × 5⁻⁵? =
  33. 33.Write 3.7 × 10⁻² as a decimal. =
  34. 34.Write 7 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 8⁴? =
  36. 36.What is the value of 2⁻⁵ (as a fraction)? =
  37. 37.What is the value of 7⁴? =
  38. 38.5.1 × 10⁴ =
  39. 39.Write (5⁸)³ as a single power 5ⁿ. What is n?
  40. 40.What is the value of 2⁴? =

Answer key

  1. 2400000
  2. 10
  3. 16807
  4. 0.63
  5. 4
  6. 1/9
  7. 7
  8. 27
  9. 27
  10. 343
  11. 1/8
  12. 1/16
  13. 8
  14. 1/16
  15. 4300
  16. 850
  17. 8
  18. 300000
  19. 1
  20. 2
  21. 1000
  22. 1/81
  23. 9
  24. 1/4
  25. 27
  26. 81
  27. 625
  28. 0.00094
  29. 16
  30. 7
  31. 0.69
  32. 1/125
  33. 0.037
  34. 0.7
  35. 4096
  36. 1/32
  37. 2401
  38. 51000
  39. 24
  40. 16

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