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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 728 · 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.Write 2.6 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 7⁴? =
  3. 3.Write 8⁹ ÷ 8⁷ as a single power 8ⁿ. What is n?
  4. 4.4 × 10⁷ =
  5. 5.Write 9⁵ × 9⁴ as a single power 9ⁿ. What is n?
  6. 6.Write 6.6 × 10⁻⁴ as a decimal. =
  7. 7.Write (9⁵)⁹ as a single power 9ⁿ. What is n?
  8. 8.What is the value of (1/2)⁻¹? =
  9. 9.Write (6²)² as a single power 6ⁿ. What is n?
  10. 10.Write 5.9 × 10⁻¹ as a decimal. =
  11. 11.Write 7¹⁰ ÷ 7³ as a single power 7ⁿ. What is n?
  12. 12.Write 7⁴ × 7⁹ as a single power 7ⁿ. What is n?
  13. 13.What is the value of 4⁸? =
  14. 14.What is the value of 10³ × 10⁻¹? =
  15. 15.Write 8⁹ × 8⁴ as a single power 8ⁿ. What is n?
  16. 16.What is the value of 3⁶ × 3⁻³? =
  17. 17.Write 2⁴ × 2⁸ as a single power 2ⁿ. What is n?
  18. 18.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 2⁷? =
  20. 20.Write 5 × 10⁻⁴ as a decimal. =
  21. 21.Write 5.4 × 10⁻³ as a decimal. =
  22. 22.Write 4⁹ × 4⁵ as a single power 4ⁿ. What is n?
  23. 23.What is the value of 10¹ × 10⁻⁴? =
  24. 24.What is the value of 2³ × 2⁻⁶? =
  25. 25.What is the value of 3³? =
  26. 26.What is the value of 10⁻¹ (as a fraction)? =
  27. 27.What is the value of 5¹ × 5⁻⁴? =
  28. 28.9.6 × 10⁷ =
  29. 29.What is the value of 8⁻³ (as a fraction)? =
  30. 30.What is the value of 3⁻¹ (as a fraction)? =
  31. 31.What is the value of (1/4)⁻¹? =
  32. 32.What is the value of 7²? =
  33. 33.What is the value of 2³ × 2⁻⁵? =
  34. 34.What is the value of (3/7)⁻²? =
  35. 35.4 × 10² =
  36. 36.Write 5⁴ × 5⁵ as a single power 5ⁿ. What is n?
  37. 37.Write 40,000 in standard form as 4 × 10ⁿ. What is n?
  38. 38.Write (2²)⁵ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 10³ × 10⁻⁴? =
  40. 40.Write 8,600 in standard form as 8.6 × 10ⁿ. What is n?

Answer key

  1. 0.00026
  2. 2401
  3. 2
  4. 40000000
  5. 9
  6. 0.00066
  7. 45
  8. 2
  9. 4
  10. 0.59
  11. 7
  12. 13
  13. 65536
  14. 100
  15. 13
  16. 27
  17. 12
  18. 4
  19. 128
  20. 0.0005
  21. 0.0054
  22. 14
  23. 1/1000
  24. 1/8
  25. 27
  26. 1/10
  27. 1/125
  28. 96000000
  29. 1/512
  30. 1/3
  31. 4
  32. 49
  33. 1/4
  34. 49/9
  35. 400
  36. 9
  37. 4
  38. 10
  39. 1/10
  40. 3

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