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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 264 · 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 82,000 in standard form as 8.2 × 10ⁿ. What is n?
  2. 2.9.6 × 10⁷ =
  3. 3.What is the value of 3⁻² (as a fraction)? =
  4. 4.What is the value of 2⁶? =
  5. 5.1.2 × 10⁵ =
  6. 6.Write 1.9 × 10⁻² as a decimal. =
  7. 7.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  8. 8.4.7 × 10⁴ =
  9. 9.What is the value of 9⁻² (as a fraction)? =
  10. 10.Write (5³)⁵ as a single power 5ⁿ. What is n?
  11. 11.4.3 × 10⁴ =
  12. 12.Write 9⁴ × 9³ as a single power 9ⁿ. What is n?
  13. 13.9.7 × 10⁷ =
  14. 14.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  15. 15.What is the value of 3⁶? =
  16. 16.What is the value of 2³ × 2⁻⁴? =
  17. 17.What is the value of 4⁵? =
  18. 18.What is the value of 10⁵ × 10⁻⁵? =
  19. 19.What is the value of (4/7)⁻²? =
  20. 20.What is the value of 3³? =
  21. 21.What is the value of 2¹⁶? =
  22. 22.Write 4⁷ ÷ 4⁵ as a single power 4ⁿ. What is n?
  23. 23.Write 9.8 × 10⁻³ as a decimal. =
  24. 24.What is the value of 5⁶ × 5⁻⁴? =
  25. 25.What is the value of 3² × 3⁻⁶? =
  26. 26.Write 4,300 in standard form as 4.3 × 10ⁿ. What is n?
  27. 27.Write (5⁵)⁵ as a single power 5ⁿ. What is n?
  28. 28.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  29. 29.What is the value of 3⁸? =
  30. 30.What is the value of 10³ × 10⁻⁴? =
  31. 31.What is the value of 3⁷? =
  32. 32.Write 8¹⁰ ÷ 8² as a single power 8ⁿ. What is n?
  33. 33.What is the value of 8³? =
  34. 34.Write 1,90,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  35. 35.Write 4,70,000 in standard form as 4.7 × 10ⁿ. What is n?
  36. 36.What is the value of 8²? =
  37. 37.Write (9⁶)⁶ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 2⁶ × 2⁻⁴? =
  39. 39.Write (5⁵)³ as a single power 5ⁿ. What is n?
  40. 40.What is the value of 2² × 2⁻¹? =

Answer key

  1. 4
  2. 96000000
  3. 1/9
  4. 64
  5. 120000
  6. 0.019
  7. 7
  8. 47000
  9. 1/81
  10. 15
  11. 43000
  12. 7
  13. 97000000
  14. 4
  15. 729
  16. 1/2
  17. 1024
  18. 1
  19. 49/16
  20. 27
  21. 65536
  22. 2
  23. 0.0098
  24. 25
  25. 1/81
  26. 3
  27. 25
  28. 7
  29. 6561
  30. 1/10
  31. 2187
  32. 8
  33. 512
  34. 7
  35. 5
  36. 64
  37. 36
  38. 4
  39. 15
  40. 2

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