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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 281 · 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. 1.2.4 × 10² =
  2. 2.What is the value of (2/3)⁻¹? =
  3. 3.What is the value of 5¹ × 5⁻⁵? =
  4. 4.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  5. 5.What is the value of 6³? =
  6. 6.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
  7. 7.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
  8. 8.Write 33,000 in standard form as 3.3 × 10ⁿ. What is n?
  9. 9.Write 5³ × 5⁸ as a single power 5ⁿ. What is n?
  10. 10.Write 7² × 7² as a single power 7ⁿ. What is n?
  11. 11.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  12. 12.Write (9⁵)⁷ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 10² × 10⁻⁶? =
  14. 14.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  15. 15.5 × 10² =
  16. 16.What is the value of 2⁻⁵ (as a fraction)? =
  17. 17.8 × 10⁶ =
  18. 18.Write (8⁷)² as a single power 8ⁿ. What is n?
  19. 19.What is the value of 10⁶ × 10⁻⁶? =
  20. 20.What is the value of 10⁴ × 10⁻⁴? =
  21. 21.Write 5⁴ × 5² as a single power 5ⁿ. What is n?
  22. 22.What is the value of 3⁵? =
  23. 23.5.2 × 10⁵ =
  24. 24.Write 6¹⁴ ÷ 6⁸ as a single power 6ⁿ. What is n?
  25. 25.Write 9.2 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 5²? =
  27. 27.Write 2.3 × 10⁻³ as a decimal. =
  28. 28.2.5 × 10⁶ =
  29. 29.Write (5⁶)⁹ as a single power 5ⁿ. What is n?
  30. 30.What is the value of 2⁻⁶ (as a fraction)? =
  31. 31.7.4 × 10⁷ =
  32. 32.Write 9.4 × 10⁻² as a decimal. =
  33. 33.What is the value of 2¹ × 2⁻³? =
  34. 34.Write 1.8 × 10⁻² as a decimal. =
  35. 35.3.5 × 10² =
  36. 36.2.9 × 10³ =
  37. 37.6.1 × 10⁷ =
  38. 38.Write 9.9 × 10⁻⁴ as a decimal. =
  39. 39.Write 7.5 × 10⁻² as a decimal. =
  40. 40.What is the value of 8⁴? =

Answer key

  1. 240
  2. 3/2
  3. 1/625
  4. 16
  5. 216
  6. 7
  7. 11
  8. 4
  9. 11
  10. 4
  11. 12
  12. 35
  13. 1/10000
  14. 2
  15. 500
  16. 1/32
  17. 8000000
  18. 14
  19. 1
  20. 1
  21. 6
  22. 243
  23. 520000
  24. 6
  25. 0.92
  26. 25
  27. 0.0023
  28. 2500000
  29. 54
  30. 1/64
  31. 74000000
  32. 0.094
  33. 1/4
  34. 0.018
  35. 350
  36. 2900
  37. 61000000
  38. 0.00099
  39. 0.075
  40. 4096

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