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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 377 · 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 4²? =
  2. 2.Write 2¹⁵ ÷ 2⁹ as a single power 2ⁿ. What is n?
  3. 3.Write (2⁴)⁶ as a single power 2ⁿ. What is n?
  4. 4.Write 3.5 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 4⁷? =
  6. 6.Write (3⁷)⁵ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 2⁹? =
  8. 8.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 10⁵ × 10⁻¹? =
  10. 10.What is the value of 3⁻⁴ (as a fraction)? =
  11. 11.Write 9.8 × 10⁻³ as a decimal. =
  12. 12.What is the value of 3⁻⁵ (as a fraction)? =
  13. 13.What is the value of 2⁻⁹ (as a fraction)? =
  14. 14.What is the value of 6⁶? =
  15. 15.What is the value of 10⁴? =
  16. 16.What is the value of 3⁵? =
  17. 17.What is the value of (4/7)⁻²? =
  18. 18.Write 9,900 in standard form as 9.9 × 10ⁿ. What is n?
  19. 19.8.7 × 10³ =
  20. 20.Write (9³)⁹ as a single power 9ⁿ. What is n?
  21. 21.6.4 × 10² =
  22. 22.What is the value of 5²? =
  23. 23.Write 9⁶ × 9⁴ as a single power 9ⁿ. What is n?
  24. 24.What is the value of 7²? =
  25. 25.What is the value of 3⁵ × 3⁻⁶? =
  26. 26.What is the value of 2¹ × 2⁻⁵? =
  27. 27.Write 2 × 10⁻³ as a decimal. =
  28. 28.What is the value of 7⁵? =
  29. 29.Write 8.8 × 10⁻⁴ as a decimal. =
  30. 30.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  31. 31.What is the value of 2³ × 2⁻²? =
  32. 32.What is the value of (1/4)⁻²? =
  33. 33.What is the value of 3⁶? =
  34. 34.Write (2⁶)³ as a single power 2ⁿ. What is n?
  35. 35.Write 4.5 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 7⁻¹ (as a fraction)? =
  37. 37.Write (9⁴)⁵ as a single power 9ⁿ. What is n?
  38. 38.What is the value of (2/9)⁻²? =
  39. 39.Write 7.7 × 10⁻² as a decimal. =
  40. 40.What is the value of (3/8)⁻¹? =

Answer key

  1. 16
  2. 6
  3. 24
  4. 0.35
  5. 16384
  6. 35
  7. 512
  8. 12
  9. 10000
  10. 1/81
  11. 0.0098
  12. 1/243
  13. 1/512
  14. 46656
  15. 10000
  16. 243
  17. 49/16
  18. 3
  19. 8700
  20. 27
  21. 640
  22. 25
  23. 10
  24. 49
  25. 1/3
  26. 1/16
  27. 0.002
  28. 16807
  29. 0.00088
  30. 5
  31. 2
  32. 16
  33. 729
  34. 18
  35. 0.45
  36. 1/7
  37. 20
  38. 81/4
  39. 0.077
  40. 8/3

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