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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 393 · 40 sums
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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 4⁶? =
  2. 2.Write 9⁶ × 9⁸ as a single power 9ⁿ. What is n?
  3. 3.What is the value of 3⁻⁵ (as a fraction)? =
  4. 4.Write 4.4 × 10⁻⁴ as a decimal. =
  5. 5.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?
  6. 6.3.5 × 10⁴ =
  7. 7.What is the value of 2⁴? =
  8. 8.Write (2⁵)⁹ as a single power 2ⁿ. What is n?
  9. 9.Write 29,000 in standard form as 2.9 × 10ⁿ. What is n?
  10. 10.What is the value of 3⁸? =
  11. 11.What is the value of 10⁶ × 10⁻¹? =
  12. 12.What is the value of (1/7)⁻²? =
  13. 13.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  14. 14.Write 2.6 × 10⁻³ as a decimal. =
  15. 15.2.5 × 10³ =
  16. 16.Write (5²)⁵ as a single power 5ⁿ. What is n?
  17. 17.What is the value of 8³? =
  18. 18.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  19. 19.Write 1.4 × 10⁻³ as a decimal. =
  20. 20.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  21. 21.6.6 × 10⁵ =
  22. 22.What is the value of 10² × 10⁻⁵? =
  23. 23.What is the value of 3¹ × 3⁻⁵? =
  24. 24.Write 3.8 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 8⁻³ (as a fraction)? =
  26. 26.Write (7⁵)⁸ as a single power 7ⁿ. What is n?
  27. 27.Write 6.1 × 10⁻² as a decimal. =
  28. 28.What is the value of (1/6)⁻²? =
  29. 29.What is the value of 5⁻¹ (as a fraction)? =
  30. 30.Write 3,30,000 in standard form as 3.3 × 10ⁿ. What is n?
  31. 31.Write 1.6 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 2⁻² (as a fraction)? =
  33. 33.1.5 × 10³ =
  34. 34.What is the value of 5² × 5⁻¹? =
  35. 35.What is the value of (8/9)⁻¹? =
  36. 36.What is the value of 2⁶ × 2⁻²? =
  37. 37.What is the value of 5⁴ × 5⁻¹? =
  38. 38.What is the value of 5² × 5⁻⁴? =
  39. 39.What is the value of 5⁻³ (as a fraction)? =
  40. 40.Write (6⁷)⁵ as a single power 6ⁿ. What is n?

Answer key

  1. 4096
  2. 14
  3. 1/243
  4. 0.00044
  5. 11
  6. 35000
  7. 16
  8. 45
  9. 4
  10. 6561
  11. 100000
  12. 49
  13. 54
  14. 0.0026
  15. 2500
  16. 10
  17. 512
  18. 7
  19. 0.0014
  20. 13
  21. 660000
  22. 1/1000
  23. 1/81
  24. 0.38
  25. 1/512
  26. 40
  27. 0.061
  28. 36
  29. 1/5
  30. 5
  31. 0.16
  32. 1/4
  33. 1500
  34. 5
  35. 9/8
  36. 16
  37. 125
  38. 1/25
  39. 1/125
  40. 35

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