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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 844 · 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 5⁴ × 5⁶ as a single power 5ⁿ. What is n?
  2. 2.What is the value of 7⁴? =
  3. 3.Write 3.2 × 10⁻² as a decimal. =
  4. 4.What is the value of 5⁻² (as a fraction)? =
  5. 5.Write (4⁸)⁸ as a single power 4ⁿ. What is n?
  6. 6.Write 4¹⁴ ÷ 4⁸ as a single power 4ⁿ. What is n?
  7. 7.Write 1.4 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 3⁵? =
  9. 9.3.4 × 10³ =
  10. 10.What is the value of 3⁶ × 3⁻⁴? =
  11. 11.What is the value of 10⁶ × 10⁻²? =
  12. 12.Write 6³ × 6⁸ as a single power 6ⁿ. What is n?
  13. 13.What is the value of 2⁸? =
  14. 14.Write (2⁹)⁸ as a single power 2ⁿ. What is n?
  15. 15.What is the value of 6⁵? =
  16. 16.Write 6,60,000 in standard form as 6.6 × 10ⁿ. What is n?
  17. 17.What is the value of 4⁷? =
  18. 18.9.3 × 10⁴ =
  19. 19.Write 8¹⁰ ÷ 8³ as a single power 8ⁿ. What is n?
  20. 20.Write (5⁵)³ as a single power 5ⁿ. What is n?
  21. 21.What is the value of 5³ × 5⁻⁴? =
  22. 22.What is the value of 5⁻³ (as a fraction)? =
  23. 23.Write 7⁹ × 7⁴ as a single power 7ⁿ. What is n?
  24. 24.Write 8.8 × 10⁻⁴ as a decimal. =
  25. 25.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  26. 26.What is the value of (5/7)⁻²? =
  27. 27.What is the value of 7²? =
  28. 28.What is the value of (1/2)⁻²? =
  29. 29.Write 9² × 9³ as a single power 9ⁿ. What is n?
  30. 30.4.9 × 10⁶ =
  31. 31.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
  32. 32.Write 8 × 10⁻² as a decimal. =
  33. 33.What is the value of 10¹ × 10⁻⁶? =
  34. 34.Write 3⁶ × 3⁸ as a single power 3ⁿ. What is n?
  35. 35.What is the value of 4⁶? =
  36. 36.Write 4.3 × 10⁻² as a decimal. =
  37. 37.Write 8⁹ × 8² as a single power 8ⁿ. What is n?
  38. 38.What is the value of 10⁵ × 10⁻⁵? =
  39. 39.Write 4.1 × 10⁻² as a decimal. =
  40. 40.What is the value of 10³ × 10⁻¹? =

Answer key

  1. 10
  2. 2401
  3. 0.032
  4. 1/25
  5. 64
  6. 6
  7. 0.14
  8. 243
  9. 3400
  10. 9
  11. 10000
  12. 11
  13. 256
  14. 72
  15. 7776
  16. 5
  17. 16384
  18. 93000
  19. 7
  20. 15
  21. 1/5
  22. 1/125
  23. 13
  24. 0.00088
  25. 8
  26. 49/25
  27. 49
  28. 4
  29. 5
  30. 4900000
  31. 3
  32. 0.08
  33. 1/100000
  34. 14
  35. 4096
  36. 0.043
  37. 11
  38. 1
  39. 0.041
  40. 100

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