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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 534 · 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 (2⁹)⁹ as a single power 2ⁿ. What is n?
  2. 2.Write 8¹¹ ÷ 8³ as a single power 8ⁿ. What is n?
  3. 3.Write 2.8 × 10⁻⁴ as a decimal. =
  4. 4.3.3 × 10² =
  5. 5.What is the value of 8⁻² (as a fraction)? =
  6. 6.Write 7.2 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of (3/4)⁻¹? =
  8. 8.Write 4⁸ × 4³ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2¹¹? =
  10. 10.What is the value of 3⁶? =
  11. 11.What is the value of 8²? =
  12. 12.What is the value of 4⁵? =
  13. 13.2.6 × 10³ =
  14. 14.What is the value of (3/5)⁻¹? =
  15. 15.Write 7¹⁷ ÷ 7⁹ as a single power 7ⁿ. What is n?
  16. 16.What is the value of 3⁴ × 3⁻²? =
  17. 17.What is the value of 10¹ × 10⁻¹? =
  18. 18.What is the value of 3⁹? =
  19. 19.What is the value of 3⁴ × 3⁻⁵? =
  20. 20.Write 32,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  21. 21.What is the value of (2/5)⁻¹? =
  22. 22.5.8 × 10⁶ =
  23. 23.Write (2³)⁷ as a single power 2ⁿ. What is n?
  24. 24.Write 7³ × 7⁷ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 10² × 10⁻⁵? =
  26. 26.What is the value of 4⁻¹ (as a fraction)? =
  27. 27.What is the value of 10³ × 10⁻²? =
  28. 28.What is the value of 4⁻⁴ (as a fraction)? =
  29. 29.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  30. 30.What is the value of 5² × 5⁻³? =
  31. 31.Write 6,70,00,000 in standard form as 6.7 × 10ⁿ. What is n?
  32. 32.What is the value of 3⁴ × 3⁻¹? =
  33. 33.Write (2⁵)⁸ as a single power 2ⁿ. What is n?
  34. 34.Write (7⁴)⁷ as a single power 7ⁿ. What is n?
  35. 35.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 2⁻⁸ (as a fraction)? =
  37. 37.Write 2.4 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of (7/9)⁻²? =
  39. 39.Write 4⁸ ÷ 4⁵ as a single power 4ⁿ. What is n?
  40. 40.Write 4 × 10⁻³ as a decimal. =

Answer key

  1. 81
  2. 8
  3. 0.00028
  4. 330
  5. 1/64
  6. 0.00072
  7. 4/3
  8. 11
  9. 2048
  10. 729
  11. 64
  12. 1024
  13. 2600
  14. 5/3
  15. 8
  16. 9
  17. 1
  18. 19683
  19. 1/3
  20. 6
  21. 5/2
  22. 5800000
  23. 21
  24. 10
  25. 1/1000
  26. 1/4
  27. 10
  28. 1/256
  29. 4
  30. 1/5
  31. 7
  32. 27
  33. 40
  34. 28
  35. 7
  36. 1/256
  37. 0.00024
  38. 81/49
  39. 3
  40. 0.004

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