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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 243 · 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 2³? =
  2. 2.Write (8³)⁴ as a single power 8ⁿ. What is n?
  3. 3.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  4. 4.What is the value of (1/5)⁻¹? =
  5. 5.What is the value of 6⁻¹ (as a fraction)? =
  6. 6.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  7. 7.What is the value of (4/9)⁻²? =
  8. 8.5 × 10⁶ =
  9. 9.9.7 × 10⁴ =
  10. 10.What is the value of 4⁸? =
  11. 11.Write 5.8 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of (1/3)⁻¹? =
  13. 13.Write 880 in standard form as 8.8 × 10ⁿ. What is n?
  14. 14.Write 6⁹ × 6² as a single power 6ⁿ. What is n?
  15. 15.Write (8⁸)⁴ as a single power 8ⁿ. What is n?
  16. 16.Write 3.5 × 10⁻³ as a decimal. =
  17. 17.What is the value of 2⁵? =
  18. 18.What is the value of 10⁻¹ (as a fraction)? =
  19. 19.Write 6⁵ × 6⁶ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 6³? =
  21. 21.What is the value of 10⁻³ (as a fraction)? =
  22. 22.What is the value of 2¹ × 2⁻¹? =
  23. 23.What is the value of 8²? =
  24. 24.What is the value of 3¹ × 3⁻⁴? =
  25. 25.What is the value of 9²? =
  26. 26.Write 2.5 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 6²? =
  28. 28.Write 5 × 10⁻¹ as a decimal. =
  29. 29.Write 4,900 in standard form as 4.9 × 10ⁿ. What is n?
  30. 30.Write (7⁵)⁶ as a single power 7ⁿ. What is n?
  31. 31.What is the value of 2⁻⁶ (as a fraction)? =
  32. 32.What is the value of 4⁻¹ (as a fraction)? =
  33. 33.What is the value of 2¹²? =
  34. 34.What is the value of (2/9)⁻¹? =
  35. 35.What is the value of 2³ × 2⁻⁶? =
  36. 36.What is the value of 2⁻⁹ (as a fraction)? =
  37. 37.Write (8⁶)² as a single power 8ⁿ. What is n?
  38. 38.Write 2.2 × 10⁻³ as a decimal. =
  39. 39.Write 8¹² ÷ 8³ as a single power 8ⁿ. What is n?
  40. 40.Write 4,200 in standard form as 4.2 × 10ⁿ. What is n?

Answer key

  1. 8
  2. 12
  3. 15
  4. 5
  5. 1/6
  6. 2
  7. 81/16
  8. 5000000
  9. 97000
  10. 65536
  11. 0.00058
  12. 3
  13. 2
  14. 11
  15. 32
  16. 0.0035
  17. 32
  18. 1/10
  19. 11
  20. 216
  21. 1/1000
  22. 1
  23. 64
  24. 1/27
  25. 81
  26. 0.25
  27. 36
  28. 0.5
  29. 3
  30. 30
  31. 1/64
  32. 1/4
  33. 4096
  34. 9/2
  35. 1/8
  36. 1/512
  37. 12
  38. 0.0022
  39. 9
  40. 3

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