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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 288 · 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.What is the value of 5⁵? =
  2. 2.Write 5¹⁰ ÷ 5⁵ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 3⁵ × 3⁻⁵? =
  4. 4.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 5³ × 5⁻³? =
  6. 6.What is the value of 2² × 2⁻¹? =
  7. 7.What is the value of 2⁶ × 2⁻⁵? =
  8. 8.What is the value of (3/5)⁻²? =
  9. 9.Write 8.1 × 10⁻² as a decimal. =
  10. 10.What is the value of 10⁶ × 10⁻⁵? =
  11. 11.Write (4⁷)⁸ as a single power 4ⁿ. What is n?
  12. 12.Write 760 in standard form as 7.6 × 10ⁿ. What is n?
  13. 13.What is the value of 5³? =
  14. 14.What is the value of 2⁹? =
  15. 15.Write 5.5 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of 5⁴ × 5⁻⁵? =
  17. 17.What is the value of 2¹⁰? =
  18. 18.What is the value of 2⁵ × 2⁻⁶? =
  19. 19.Write 1.1 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 10⁻³ (as a fraction)? =
  21. 21.What is the value of 10³ × 10⁻⁴? =
  22. 22.What is the value of 5⁶? =
  23. 23.Write 5.7 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 3²? =
  25. 25.What is the value of 2⁻⁴ (as a fraction)? =
  26. 26.What is the value of 9⁻² (as a fraction)? =
  27. 27.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 10² × 10⁻¹? =
  29. 29.What is the value of 7⁴? =
  30. 30.Write 6⁹ ÷ 6³ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 6⁻² (as a fraction)? =
  32. 32.What is the value of (6/7)⁻²? =
  33. 33.Write (9²)⁹ as a single power 9ⁿ. What is n?
  34. 34.Write 1.7 × 10⁻² as a decimal. =
  35. 35.Write 4.7 × 10⁻³ as a decimal. =
  36. 36.9 × 10⁶ =
  37. 37.Write 900 in standard form as 9 × 10ⁿ. What is n?
  38. 38.What is the value of 5¹ × 5⁻⁴? =
  39. 39.What is the value of 8⁴? =
  40. 40.What is the value of 2¹³? =

Answer key

  1. 3125
  2. 5
  3. 1
  4. 8
  5. 1
  6. 2
  7. 2
  8. 25/9
  9. 0.081
  10. 10
  11. 56
  12. 2
  13. 125
  14. 512
  15. 0.00055
  16. 1/5
  17. 1024
  18. 1/2
  19. 0.00011
  20. 1/1000
  21. 1/10
  22. 15625
  23. 0.57
  24. 9
  25. 1/16
  26. 1/81
  27. 7
  28. 10
  29. 2401
  30. 6
  31. 1/36
  32. 49/36
  33. 18
  34. 0.017
  35. 0.0047
  36. 9000000
  37. 2
  38. 1/125
  39. 4096
  40. 8192

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