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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 110 · 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.What is the value of 2¹⁴? =
  2. 2.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  3. 3.5.9 × 10³ =
  4. 4.What is the value of 2⁵ × 2⁻⁵? =
  5. 5.Write 2³ × 2⁴ as a single power 2ⁿ. What is n?
  6. 6.Write (4⁸)⁸ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 4⁴? =
  8. 8.What is the value of (2/3)⁻¹? =
  9. 9.What is the value of 5⁻³ (as a fraction)? =
  10. 10.Write 3³ × 3² as a single power 3ⁿ. What is n?
  11. 11.What is the value of 2⁻⁹ (as a fraction)? =
  12. 12.Write 3.7 × 10⁻³ as a decimal. =
  13. 13.7.3 × 10² =
  14. 14.What is the value of (5/6)⁻²? =
  15. 15.2 × 10³ =
  16. 16.What is the value of 3³? =
  17. 17.Write 9³ × 9³ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 7⁻² (as a fraction)? =
  19. 19.What is the value of 3⁸? =
  20. 20.What is the value of 3³ × 3⁻⁶? =
  21. 21.Write (3⁶)⁵ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 2⁸? =
  23. 23.What is the value of 4²? =
  24. 24.What is the value of 2⁻⁴ (as a fraction)? =
  25. 25.What is the value of 10⁵ × 10⁻²? =
  26. 26.1.9 × 10² =
  27. 27.What is the value of 3⁵ × 3⁻⁶? =
  28. 28.6.2 × 10⁶ =
  29. 29.Write 3.8 × 10⁻² as a decimal. =
  30. 30.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  31. 31.5.7 × 10⁷ =
  32. 32.Write 7⁵ ÷ 7² as a single power 7ⁿ. What is n?
  33. 33.Write 78,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  34. 34.What is the value of 10³ × 10⁻⁴? =
  35. 35.1.6 × 10⁷ =
  36. 36.What is the value of 4⁶? =
  37. 37.Write (6⁴)⁵ as a single power 6ⁿ. What is n?
  38. 38.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  39. 39.What is the value of (3/5)⁻¹? =
  40. 40.8.4 × 10⁴ =

Answer key

  1. 16384
  2. 7
  3. 5900
  4. 1
  5. 7
  6. 64
  7. 256
  8. 3/2
  9. 1/125
  10. 5
  11. 1/512
  12. 0.0037
  13. 730
  14. 36/25
  15. 2000
  16. 27
  17. 6
  18. 1/49
  19. 6561
  20. 1/27
  21. 30
  22. 256
  23. 16
  24. 1/16
  25. 1000
  26. 190
  27. 1/3
  28. 6200000
  29. 0.038
  30. 3
  31. 57000000
  32. 3
  33. 6
  34. 1/10
  35. 16000000
  36. 4096
  37. 20
  38. 2
  39. 5/3
  40. 84000

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