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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 435 · 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 2.1 × 10⁻³ as a decimal. =
  2. 2.What is the value of (2/9)⁻¹? =
  3. 3.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 10² × 10⁻²? =
  5. 5.What is the value of 2⁶ × 2⁻⁶? =
  6. 6.Write 1.8 × 10⁻³ as a decimal. =
  7. 7.Write 2.4 × 10⁻³ as a decimal. =
  8. 8.3.5 × 10⁶ =
  9. 9.What is the value of 10⁵? =
  10. 10.What is the value of 2⁶ × 2⁻⁵? =
  11. 11.What is the value of 8²? =
  12. 12.9.1 × 10⁴ =
  13. 13.Write 2.2 × 10⁻² as a decimal. =
  14. 14.Write 7.1 × 10⁻¹ as a decimal. =
  15. 15.Write 6.7 × 10⁻² as a decimal. =
  16. 16.What is the value of 2⁵ × 2⁻²? =
  17. 17.What is the value of 10⁴ × 10⁻⁶? =
  18. 18.7.2 × 10³ =
  19. 19.What is the value of 3⁵? =
  20. 20.What is the value of 4⁴? =
  21. 21.What is the value of 4⁻² (as a fraction)? =
  22. 22.Write 8³ × 8³ as a single power 8ⁿ. What is n?
  23. 23.What is the value of 2⁻⁸ (as a fraction)? =
  24. 24.What is the value of 5³ × 5⁻⁴? =
  25. 25.Write 8.5 × 10⁻² as a decimal. =
  26. 26.What is the value of 2⁹? =
  27. 27.Write 8³ × 8² as a single power 8ⁿ. What is n?
  28. 28.Write 2⁷ × 2⁶ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 4⁵? =
  30. 30.Write (6⁶)⁸ as a single power 6ⁿ. What is n?
  31. 31.Write 8⁵ × 8⁵ as a single power 8ⁿ. What is n?
  32. 32.Write 3.2 × 10⁻¹ as a decimal. =
  33. 33.Write 3¹³ ÷ 3⁵ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 2⁴? =
  35. 35.Write (7⁷)⁴ as a single power 7ⁿ. What is n?
  36. 36.What is the value of 2⁻³ (as a fraction)? =
  37. 37.Write 4⁸ × 4⁹ as a single power 4ⁿ. What is n?
  38. 38.Write 9⁹ × 9⁷ as a single power 9ⁿ. What is n?
  39. 39.Write 4,300 in standard form as 4.3 × 10ⁿ. What is n?
  40. 40.What is the value of 2¹²? =

Answer key

  1. 0.0021
  2. 9/2
  3. 9
  4. 1
  5. 1
  6. 0.0018
  7. 0.0024
  8. 3500000
  9. 100000
  10. 2
  11. 64
  12. 91000
  13. 0.022
  14. 0.71
  15. 0.067
  16. 8
  17. 1/100
  18. 7200
  19. 243
  20. 256
  21. 1/16
  22. 6
  23. 1/256
  24. 1/5
  25. 0.085
  26. 512
  27. 5
  28. 13
  29. 1024
  30. 48
  31. 10
  32. 0.32
  33. 8
  34. 16
  35. 28
  36. 1/8
  37. 17
  38. 16
  39. 3
  40. 4096

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