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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 104 · 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 2.9 × 10⁻⁴ as a decimal. =
  2. 2.Write 9⁸ ÷ 9³ as a single power 9ⁿ. What is n?
  3. 3.What is the value of 2⁴ × 2⁻⁶? =
  4. 4.Write 8³ × 8² as a single power 8ⁿ. What is n?
  5. 5.What is the value of 3²? =
  6. 6.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?
  7. 7.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
  8. 8.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  9. 9.What is the value of 7³? =
  10. 10.Write (4³)⁵ as a single power 4ⁿ. What is n?
  11. 11.What is the value of 2⁹? =
  12. 12.What is the value of (5/8)⁻¹? =
  13. 13.Write 8⁴ × 8⁹ as a single power 8ⁿ. What is n?
  14. 14.Write 38,000 in standard form as 3.8 × 10ⁿ. What is n?
  15. 15.What is the value of (8/9)⁻¹? =
  16. 16.What is the value of 4²? =
  17. 17.What is the value of 2²? =
  18. 18.Write 5.7 × 10⁻² as a decimal. =
  19. 19.Write (2³)³ as a single power 2ⁿ. What is n?
  20. 20.Write 28,000 in standard form as 2.8 × 10ⁿ. What is n?
  21. 21.Write 6.6 × 10⁻² as a decimal. =
  22. 22.Write 8³ × 8⁷ as a single power 8ⁿ. What is n?
  23. 23.Write 2⁹ ÷ 2² as a single power 2ⁿ. What is n?
  24. 24.What is the value of 10³? =
  25. 25.Write 9.2 × 10⁻³ as a decimal. =
  26. 26.What is the value of 5² × 5⁻⁵? =
  27. 27.Write 3.9 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 10⁴ × 10⁻³? =
  29. 29.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
  30. 30.What is the value of 5³ × 5⁻¹? =
  31. 31.What is the value of 4⁵? =
  32. 32.2 × 10⁵ =
  33. 33.What is the value of 2⁷? =
  34. 34.What is the value of 2³ × 2⁻³? =
  35. 35.Write 9.6 × 10⁻³ as a decimal. =
  36. 36.Write 690 in standard form as 6.9 × 10ⁿ. What is n?
  37. 37.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  38. 38.What is the value of 3⁵ × 3⁻²? =
  39. 39.What is the value of 6⁻² (as a fraction)? =
  40. 40.What is the value of (5/9)⁻²? =

Answer key

  1. 0.00029
  2. 5
  3. 1/4
  4. 5
  5. 9
  6. 9
  7. 11
  8. 6
  9. 343
  10. 15
  11. 512
  12. 8/5
  13. 13
  14. 4
  15. 9/8
  16. 16
  17. 4
  18. 0.057
  19. 9
  20. 4
  21. 0.066
  22. 10
  23. 7
  24. 1000
  25. 0.0092
  26. 1/125
  27. 0.39
  28. 10
  29. 3
  30. 25
  31. 1024
  32. 200000
  33. 128
  34. 1
  35. 0.0096
  36. 2
  37. 2
  38. 27
  39. 1/36
  40. 81/25

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