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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 130 · 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. 1.3.2 × 10² =
  2. 2.What is the value of 5⁵? =
  3. 3.Write 2¹⁶ ÷ 2⁷ as a single power 2ⁿ. What is n?
  4. 4.What is the value of (2/9)⁻²? =
  5. 5.What is the value of 5²? =
  6. 6.Write 5,300 in standard form as 5.3 × 10ⁿ. What is n?
  7. 7.Write (6²)⁵ as a single power 6ⁿ. What is n?
  8. 8.What is the value of 8³? =
  9. 9.Write 1.7 × 10⁻³ as a decimal. =
  10. 10.Write 6¹⁰ ÷ 6⁴ as a single power 6ⁿ. What is n?
  11. 11.Write 7³ × 7² as a single power 7ⁿ. What is n?
  12. 12.2.5 × 10³ =
  13. 13.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  14. 14.Write (9⁷)⁷ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 9⁻² (as a fraction)? =
  16. 16.Write (6⁶)² as a single power 6ⁿ. What is n?
  17. 17.What is the value of 5⁶ × 5⁻⁵? =
  18. 18.What is the value of (3/8)⁻²? =
  19. 19.6.2 × 10⁴ =
  20. 20.What is the value of 3³ × 3⁻¹? =
  21. 21.Write 4.4 × 10⁻² as a decimal. =
  22. 22.Write 5.3 × 10⁻³ as a decimal. =
  23. 23.What is the value of 3⁵? =
  24. 24.Write (5⁴)⁹ as a single power 5ⁿ. What is n?
  25. 25.What is the value of 2⁹? =
  26. 26.Write 7.2 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of (2/5)⁻²? =
  28. 28.What is the value of 5² × 5⁻³? =
  29. 29.What is the value of 4⁷? =
  30. 30.Write 8.2 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 5⁶ × 5⁻⁴? =
  32. 32.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  33. 33.Write (7⁸)⁵ as a single power 7ⁿ. What is n?
  34. 34.9.1 × 10⁷ =
  35. 35.What is the value of 5³? =
  36. 36.Write 1.3 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 5⁶ × 5⁻²? =
  38. 38.What is the value of 2¹¹? =
  39. 39.Write (5⁵)⁶ as a single power 5ⁿ. What is n?
  40. 40.What is the value of 2¹²? =

Answer key

  1. 320
  2. 3125
  3. 9
  4. 81/4
  5. 25
  6. 3
  7. 10
  8. 512
  9. 0.0017
  10. 6
  11. 5
  12. 2500
  13. 10
  14. 49
  15. 1/81
  16. 12
  17. 5
  18. 64/9
  19. 62000
  20. 9
  21. 0.044
  22. 0.0053
  23. 243
  24. 36
  25. 512
  26. 0.00072
  27. 25/4
  28. 1/5
  29. 16384
  30. 0.82
  31. 25
  32. 6
  33. 40
  34. 91000000
  35. 125
  36. 0.13
  37. 625
  38. 2048
  39. 30
  40. 4096

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