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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 573 · 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 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  2. 2.Write 5³ × 5⁷ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 2¹¹? =
  4. 4.Write 160 in standard form as 1.6 × 10ⁿ. What is n?
  5. 5.What is the value of 2¹⁶? =
  6. 6.What is the value of 3³ × 3⁻²? =
  7. 7.What is the value of (1/4)⁻¹? =
  8. 8.Write 6.6 × 10⁻³ as a decimal. =
  9. 9.What is the value of 10⁴? =
  10. 10.Write (2³)² as a single power 2ⁿ. What is n?
  11. 11.What is the value of 4⁴? =
  12. 12.Write 6² × 6⁹ as a single power 6ⁿ. What is n?
  13. 13.What is the value of (2/5)⁻²? =
  14. 14.Write 7⁸ × 7⁴ as a single power 7ⁿ. What is n?
  15. 15.Write 5¹⁴ ÷ 5⁸ as a single power 5ⁿ. What is n?
  16. 16.Write 3.5 × 10⁻² as a decimal. =
  17. 17.7.8 × 10⁵ =
  18. 18.What is the value of 5³? =
  19. 19.What is the value of 10⁴ × 10⁻¹? =
  20. 20.Write 9⁵ ÷ 9³ as a single power 9ⁿ. What is n?
  21. 21.8.1 × 10² =
  22. 22.Write 8.6 × 10⁻³ as a decimal. =
  23. 23.What is the value of 2⁻⁶ (as a fraction)? =
  24. 24.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?
  25. 25.What is the value of 2⁵ × 2⁻²? =
  26. 26.Write 8 × 10⁻¹ as a decimal. =
  27. 27.Write 1.6 × 10⁻³ as a decimal. =
  28. 28.What is the value of 8⁵? =
  29. 29.What is the value of 2⁻⁷ (as a fraction)? =
  30. 30.Write 6,700 in standard form as 6.7 × 10ⁿ. What is n?
  31. 31.Write 7.8 × 10⁻² as a decimal. =
  32. 32.What is the value of (1/9)⁻²? =
  33. 33.What is the value of 4⁻⁴ (as a fraction)? =
  34. 34.What is the value of (2/9)⁻¹? =
  35. 35.What is the value of 4²? =
  36. 36.8.8 × 10⁵ =
  37. 37.What is the value of 7⁻³ (as a fraction)? =
  38. 38.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 4⁸? =
  40. 40.5 × 10² =

Answer key

  1. 9
  2. 10
  3. 2048
  4. 2
  5. 65536
  6. 3
  7. 4
  8. 0.0066
  9. 10000
  10. 6
  11. 256
  12. 11
  13. 25/4
  14. 12
  15. 6
  16. 0.035
  17. 780000
  18. 125
  19. 1000
  20. 2
  21. 810
  22. 0.0086
  23. 1/64
  24. 9
  25. 8
  26. 0.8
  27. 0.0016
  28. 32768
  29. 1/128
  30. 3
  31. 0.078
  32. 81
  33. 1/256
  34. 9/2
  35. 16
  36. 880000
  37. 1/343
  38. 54
  39. 65536
  40. 500

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