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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 411 · 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 8.2 × 10⁻¹ as a decimal. =
  2. 2.What is the value of (1/2)⁻²? =
  3. 3.Write 3⁸ ÷ 3⁵ as a single power 3ⁿ. What is n?
  4. 4.3.2 × 10⁶ =
  5. 5.What is the value of 2¹ × 2⁻²? =
  6. 6.Write 7.7 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 3⁹? =
  8. 8.Write (6⁵)⁴ as a single power 6ⁿ. What is n?
  9. 9.What is the value of 2² × 2⁻⁵? =
  10. 10.What is the value of 5⁵ × 5⁻¹? =
  11. 11.Write 3.2 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 2⁻⁸ (as a fraction)? =
  13. 13.Write 8.3 × 10⁻⁴ as a decimal. =
  14. 14.Write (4⁸)⁷ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 7⁻¹ (as a fraction)? =
  16. 16.What is the value of 4²? =
  17. 17.What is the value of 2⁷? =
  18. 18.Write 2.6 × 10⁻¹ as a decimal. =
  19. 19.Write 5.8 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 5⁶? =
  21. 21.2.8 × 10⁴ =
  22. 22.Write 6¹⁴ ÷ 6⁸ as a single power 6ⁿ. What is n?
  23. 23.What is the value of 10³? =
  24. 24.Write 3.5 × 10⁻² as a decimal. =
  25. 25.What is the value of 4⁸? =
  26. 26.Write 4.3 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 9⁻¹ (as a fraction)? =
  28. 28.What is the value of 2⁹? =
  29. 29.What is the value of 5⁶ × 5⁻⁴? =
  30. 30.Write 5¹³ ÷ 5⁵ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 10²? =
  32. 32.Write 9¹⁷ ÷ 9⁸ as a single power 9ⁿ. What is n?
  33. 33.Write 840 in standard form as 8.4 × 10ⁿ. What is n?
  34. 34.What is the value of 5⁴ × 5⁻⁵? =
  35. 35.What is the value of (3/4)⁻¹? =
  36. 36.Write 8 × 10⁻³ as a decimal. =
  37. 37.Write (5⁷)⁹ as a single power 5ⁿ. What is n?
  38. 38.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 5² × 5⁻¹? =
  40. 40.3.5 × 10² =

Answer key

  1. 0.82
  2. 4
  3. 3
  4. 3200000
  5. 1/2
  6. 0.77
  7. 19683
  8. 20
  9. 1/8
  10. 625
  11. 0.00032
  12. 1/256
  13. 0.00083
  14. 56
  15. 1/7
  16. 16
  17. 128
  18. 0.26
  19. 0.58
  20. 15625
  21. 28000
  22. 6
  23. 1000
  24. 0.035
  25. 65536
  26. 0.43
  27. 1/9
  28. 512
  29. 25
  30. 8
  31. 100
  32. 9
  33. 2
  34. 1/5
  35. 4/3
  36. 0.008
  37. 63
  38. 8
  39. 5
  40. 350

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