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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 141 · 40 sums
TalentJR

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 2⁴ × 2² as a single power 2ⁿ. What is n?
  2. 2.Write 6 × 10⁻⁴ as a decimal. =
  3. 3.Write 5⁶ × 5⁶ as a single power 5ⁿ. What is n?
  4. 4.Write 8⁵ × 8⁷ as a single power 8ⁿ. What is n?
  5. 5.Write 3.8 × 10⁻² as a decimal. =
  6. 6.What is the value of 10⁴? =
  7. 7.Write 25,000 in standard form as 2.5 × 10ⁿ. What is n?
  8. 8.Write 1.8 × 10⁻² as a decimal. =
  9. 9.What is the value of 2⁻² (as a fraction)? =
  10. 10.Write 4,40,000 in standard form as 4.4 × 10ⁿ. What is n?
  11. 11.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  12. 12.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  13. 13.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?
  14. 14.6.9 × 10⁴ =
  15. 15.What is the value of 2⁸? =
  16. 16.What is the value of 8⁻² (as a fraction)? =
  17. 17.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  18. 18.What is the value of 6⁵? =
  19. 19.Write (5⁵)⁸ as a single power 5ⁿ. What is n?
  20. 20.Write (4⁸)³ as a single power 4ⁿ. What is n?
  21. 21.Write 3.1 × 10⁻³ as a decimal. =
  22. 22.What is the value of 7²? =
  23. 23.Write 4⁷ × 4⁶ as a single power 4ⁿ. What is n?
  24. 24.What is the value of (3/4)⁻¹? =
  25. 25.Write 5⁶ × 5⁹ as a single power 5ⁿ. What is n?
  26. 26.What is the value of 2¹⁰? =
  27. 27.What is the value of 3⁻² (as a fraction)? =
  28. 28.Write 5 × 10⁻¹ as a decimal. =
  29. 29.Write 7⁵ ÷ 7³ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 10³? =
  31. 31.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  32. 32.9.5 × 10³ =
  33. 33.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  34. 34.Write 2¹⁵ ÷ 2⁶ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 10⁶ × 10⁻²? =
  36. 36.9.9 × 10⁶ =
  37. 37.Write 8⁴ × 8⁴ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 9³? =
  39. 39.What is the value of 3²? =
  40. 40.What is the value of 3³ × 3⁻⁴? =

Answer key

  1. 6
  2. 0.0006
  3. 12
  4. 12
  5. 0.038
  6. 10000
  7. 4
  8. 0.018
  9. 1/4
  10. 5
  11. 4
  12. 3
  13. 4
  14. 69000
  15. 256
  16. 1/64
  17. 13
  18. 7776
  19. 40
  20. 24
  21. 0.0031
  22. 49
  23. 13
  24. 4/3
  25. 15
  26. 1024
  27. 1/9
  28. 0.5
  29. 2
  30. 1000
  31. 6
  32. 9500
  33. 16
  34. 9
  35. 10000
  36. 9900000
  37. 8
  38. 729
  39. 9
  40. 1/3

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