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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 694 · 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 5¹¹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  2. 2.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  3. 3.What is the value of 3⁻⁵ (as a fraction)? =
  4. 4.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  5. 5.Write 9,80,000 in standard form as 9.8 × 10ⁿ. What is n?
  6. 6.Write 2³ × 2⁴ as a single power 2ⁿ. What is n?
  7. 7.Write 8.5 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 5⁻¹ (as a fraction)? =
  9. 9.Write 3⁶ ÷ 3⁴ as a single power 3ⁿ. What is n?
  10. 10.What is the value of 3¹ × 3⁻¹? =
  11. 11.What is the value of 2¹ × 2⁻⁴? =
  12. 12.What is the value of 2¹²? =
  13. 13.What is the value of 4⁵? =
  14. 14.Write 3.6 × 10⁻¹ as a decimal. =
  15. 15.What is the value of (4/7)⁻²? =
  16. 16.Write (8²)⁸ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 3⁴ × 3⁻⁴? =
  18. 18.Write 3⁵ × 3⁷ as a single power 3ⁿ. What is n?
  19. 19.What is the value of 2⁹? =
  20. 20.Write 9.7 × 10⁻² as a decimal. =
  21. 21.6.9 × 10⁷ =
  22. 22.What is the value of (8/9)⁻¹? =
  23. 23.What is the value of 2⁶ × 2⁻²? =
  24. 24.What is the value of 2⁻⁹ (as a fraction)? =
  25. 25.What is the value of 10⁴ × 10⁻³? =
  26. 26.What is the value of 2³ × 2⁻²? =
  27. 27.Write 5⁹ × 5³ as a single power 5ⁿ. What is n?
  28. 28.Write (8²)⁶ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 3⁶ × 3⁻¹? =
  30. 30.What is the value of 7⁵? =
  31. 31.What is the value of 2⁴ × 2⁻⁵? =
  32. 32.Write 9⁸ × 9⁵ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 4⁻³ (as a fraction)? =
  34. 34.4.2 × 10³ =
  35. 35.Write 3.5 × 10⁻¹ as a decimal. =
  36. 36.Write 7.3 × 10⁻³ as a decimal. =
  37. 37.Write 8¹⁶ ÷ 8⁷ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 2² × 2⁻⁵? =
  39. 39.What is the value of (5/6)⁻¹? =
  40. 40.3.2 × 10⁴ =

Answer key

  1. 6
  2. 5
  3. 1/243
  4. 4
  5. 5
  6. 7
  7. 0.85
  8. 1/5
  9. 2
  10. 1
  11. 1/8
  12. 4096
  13. 1024
  14. 0.36
  15. 49/16
  16. 16
  17. 1
  18. 12
  19. 512
  20. 0.097
  21. 69000000
  22. 9/8
  23. 16
  24. 1/512
  25. 10
  26. 2
  27. 12
  28. 12
  29. 243
  30. 16807
  31. 1/2
  32. 13
  33. 1/64
  34. 4200
  35. 0.35
  36. 0.0073
  37. 9
  38. 1/8
  39. 6/5
  40. 32000

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