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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 507 · 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. 1.3.4 × 10⁴ =
  2. 2.Write (2⁵)⁹ as a single power 2ⁿ. What is n?
  3. 3.Write 7.5 × 10⁻² as a decimal. =
  4. 4.Write 3³ × 3⁷ as a single power 3ⁿ. What is n?
  5. 5.Write 1.4 × 10⁻² as a decimal. =
  6. 6.Write (5³)⁶ as a single power 5ⁿ. What is n?
  7. 7.Write 3.1 × 10⁻⁴ as a decimal. =
  8. 8.8.9 × 10⁵ =
  9. 9.What is the value of 5² × 5⁻²? =
  10. 10.5.2 × 10⁶ =
  11. 11.Write 6¹⁶ ÷ 6⁸ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 2⁻⁸ (as a fraction)? =
  13. 13.Write 1.7 × 10⁻³ as a decimal. =
  14. 14.What is the value of 3⁹? =
  15. 15.Write 4 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of 4⁷? =
  17. 17.What is the value of 2¹⁶? =
  18. 18.What is the value of 8²? =
  19. 19.Write 6.9 × 10⁻² as a decimal. =
  20. 20.What is the value of 2⁻⁹ (as a fraction)? =
  21. 21.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 3⁻⁴ (as a fraction)? =
  23. 23.Write 7⁸ ÷ 7⁵ as a single power 7ⁿ. What is n?
  24. 24.Write 1.4 × 10⁻¹ as a decimal. =
  25. 25.Write 9.6 × 10⁻² as a decimal. =
  26. 26.What is the value of 3²? =
  27. 27.Write 7¹⁷ ÷ 7⁸ as a single power 7ⁿ. What is n?
  28. 28.What is the value of 5² × 5⁻⁶? =
  29. 29.What is the value of 5⁻⁴ (as a fraction)? =
  30. 30.What is the value of 2⁵ × 2⁻⁴? =
  31. 31.Write 3,90,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  32. 32.Write 2² × 2⁷ as a single power 2ⁿ. What is n?
  33. 33.Write 8⁴ × 8⁶ as a single power 8ⁿ. What is n?
  34. 34.What is the value of 10¹ × 10⁻¹? =
  35. 35.What is the value of 3² × 3⁻⁴? =
  36. 36.Write 2 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 7²? =
  38. 38.What is the value of 7³? =
  39. 39.What is the value of 2¹⁴? =
  40. 40.What is the value of (1/9)⁻²? =

Answer key

  1. 34000
  2. 45
  3. 0.075
  4. 10
  5. 0.014
  6. 18
  7. 0.00031
  8. 890000
  9. 1
  10. 5200000
  11. 8
  12. 1/256
  13. 0.0017
  14. 19683
  15. 0.0004
  16. 16384
  17. 65536
  18. 64
  19. 0.069
  20. 1/512
  21. 11
  22. 1/81
  23. 3
  24. 0.14
  25. 0.096
  26. 9
  27. 9
  28. 1/625
  29. 1/625
  30. 2
  31. 7
  32. 9
  33. 10
  34. 1
  35. 1/9
  36. 0.0002
  37. 49
  38. 343
  39. 16384
  40. 81

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