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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 548 · 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 7.4 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 2⁶? =
  3. 3.What is the value of 4⁴? =
  4. 4.What is the value of 5²? =
  5. 5.What is the value of 4²? =
  6. 6.Write 3.6 × 10⁻⁴ as a decimal. =
  7. 7.7.4 × 10⁷ =
  8. 8.What is the value of 5⁴ × 5⁻³? =
  9. 9.What is the value of 2¹¹? =
  10. 10.What is the value of 10²? =
  11. 11.Write (5⁷)³ as a single power 5ⁿ. What is n?
  12. 12.What is the value of 4⁶? =
  13. 13.Write 5⁵ × 5³ as a single power 5ⁿ. What is n?
  14. 14.Write 2 × 10⁻³ as a decimal. =
  15. 15.Write 1.4 × 10⁻³ as a decimal. =
  16. 16.What is the value of 9²? =
  17. 17.Write (7³)⁸ as a single power 7ⁿ. What is n?
  18. 18.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  19. 19.Write 4.1 × 10⁻² as a decimal. =
  20. 20.What is the value of 8⁴? =
  21. 21.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?
  22. 22.What is the value of 8³? =
  23. 23.What is the value of (3/7)⁻¹? =
  24. 24.Write 9.8 × 10⁻⁴ as a decimal. =
  25. 25.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  26. 26.Write 2.2 × 10⁻⁴ as a decimal. =
  27. 27.7.7 × 10² =
  28. 28.What is the value of 5⁶ × 5⁻²? =
  29. 29.What is the value of 9⁻¹ (as a fraction)? =
  30. 30.Write 9.6 × 10⁻⁴ as a decimal. =
  31. 31.Write (3⁹)⁷ as a single power 3ⁿ. What is n?
  32. 32.What is the value of 2²? =
  33. 33.Write (6⁵)⁹ as a single power 6ⁿ. What is n?
  34. 34.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  35. 35.Write (4²)⁸ as a single power 4ⁿ. What is n?
  36. 36.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  37. 37.What is the value of (5/6)⁻¹? =
  38. 38.6.6 × 10⁴ =
  39. 39.Write (8⁵)⁹ as a single power 8ⁿ. What is n?
  40. 40.What is the value of 10³? =

Answer key

  1. 0.00074
  2. 64
  3. 256
  4. 25
  5. 16
  6. 0.00036
  7. 74000000
  8. 5
  9. 2048
  10. 100
  11. 21
  12. 4096
  13. 8
  14. 0.002
  15. 0.0014
  16. 81
  17. 24
  18. 7
  19. 0.041
  20. 4096
  21. 9
  22. 512
  23. 7/3
  24. 0.00098
  25. 4
  26. 0.00022
  27. 770
  28. 625
  29. 1/9
  30. 0.00096
  31. 63
  32. 4
  33. 45
  34. 9
  35. 16
  36. 9
  37. 6/5
  38. 66000
  39. 45
  40. 1000

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