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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 631 · 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 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  2. 2.Write (7⁶)³ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 4⁻² (as a fraction)? =
  4. 4.What is the value of 2¹⁵? =
  5. 5.What is the value of 6⁴? =
  6. 6.Write 2⁸ × 2⁷ as a single power 2ⁿ. What is n?
  7. 7.What is the value of 3⁹? =
  8. 8.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  9. 9.What is the value of 6³? =
  10. 10.What is the value of 3²? =
  11. 11.What is the value of 6⁻² (as a fraction)? =
  12. 12.What is the value of 3⁵ × 3⁻⁶? =
  13. 13.Write 6,100 in standard form as 6.1 × 10ⁿ. What is n?
  14. 14.4.3 × 10³ =
  15. 15.What is the value of 5² × 5⁻¹? =
  16. 16.What is the value of 3⁸? =
  17. 17.5.9 × 10⁵ =
  18. 18.Write 2.5 × 10⁻⁴ as a decimal. =
  19. 19.Write (9⁶)⁹ as a single power 9ⁿ. What is n?
  20. 20.Write 9¹¹ ÷ 9⁸ as a single power 9ⁿ. What is n?
  21. 21.5.8 × 10⁴ =
  22. 22.What is the value of 2⁶ × 2⁻²? =
  23. 23.Write 920 in standard form as 9.2 × 10ⁿ. What is n?
  24. 24.Write 7⁷ × 7⁹ as a single power 7ⁿ. What is n?
  25. 25.Write 3¹⁴ ÷ 3⁷ as a single power 3ⁿ. What is n?
  26. 26.Write 3.8 × 10⁻¹ as a decimal. =
  27. 27.Write (2⁹)⁷ as a single power 2ⁿ. What is n?
  28. 28.Write 92,00,000 in standard form as 9.2 × 10ⁿ. What is n?
  29. 29.Write 8.3 × 10⁻³ as a decimal. =
  30. 30.Write 54,000 in standard form as 5.4 × 10ⁿ. What is n?
  31. 31.Write (7³)⁴ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 3⁵ × 3⁻²? =
  33. 33.What is the value of 3⁴? =
  34. 34.Write 5.5 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 2⁹? =
  36. 36.What is the value of 2⁷? =
  37. 37.What is the value of 4⁻⁴ (as a fraction)? =
  38. 38.What is the value of (5/9)⁻¹? =
  39. 39.Write 3.5 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 2²? =

Answer key

  1. 11
  2. 18
  3. 1/16
  4. 32768
  5. 1296
  6. 15
  7. 19683
  8. 7
  9. 216
  10. 9
  11. 1/36
  12. 1/3
  13. 3
  14. 4300
  15. 5
  16. 6561
  17. 590000
  18. 0.00025
  19. 54
  20. 3
  21. 58000
  22. 16
  23. 2
  24. 16
  25. 7
  26. 0.38
  27. 63
  28. 6
  29. 0.0083
  30. 4
  31. 12
  32. 27
  33. 81
  34. 0.00055
  35. 512
  36. 128
  37. 1/256
  38. 9/5
  39. 0.35
  40. 4

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