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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 587 · 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 7,80,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  2. 2.What is the value of 5⁵ × 5⁻¹? =
  3. 3.What is the value of 2² × 2⁻⁴? =
  4. 4.What is the value of 3⁸? =
  5. 5.Write 2.2 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 5² × 5⁻²? =
  7. 7.Write 3¹⁵ ÷ 3⁷ as a single power 3ⁿ. What is n?
  8. 8.Write 3⁸ ÷ 3⁵ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 4⁸? =
  10. 10.What is the value of (1/4)⁻¹? =
  11. 11.What is the value of 3¹ × 3⁻⁶? =
  12. 12.What is the value of 10³? =
  13. 13.Write 3.1 × 10⁻² as a decimal. =
  14. 14.What is the value of 3⁴ × 3⁻²? =
  15. 15.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  16. 16.What is the value of (2/3)⁻²? =
  17. 17.3.8 × 10⁴ =
  18. 18.What is the value of 5⁴ × 5⁻²? =
  19. 19.What is the value of 4⁷? =
  20. 20.What is the value of 8⁵? =
  21. 21.What is the value of 10⁶ × 10⁻⁴? =
  22. 22.Write 8.3 × 10⁻³ as a decimal. =
  23. 23.What is the value of 8²? =
  24. 24.What is the value of 6²? =
  25. 25.Write 4.9 × 10⁻¹ as a decimal. =
  26. 26.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  27. 27.5.4 × 10⁶ =
  28. 28.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  29. 29.Write 9.3 × 10⁻² as a decimal. =
  30. 30.2.1 × 10⁵ =
  31. 31.Write (3⁹)² as a single power 3ⁿ. What is n?
  32. 32.Write (8³)⁷ as a single power 8ⁿ. What is n?
  33. 33.What is the value of (3/4)⁻¹? =
  34. 34.What is the value of 3⁻¹ (as a fraction)? =
  35. 35.Write (4⁹)⁵ as a single power 4ⁿ. What is n?
  36. 36.9.3 × 10⁶ =
  37. 37.What is the value of (3/5)⁻¹? =
  38. 38.Write 1.6 × 10⁻² as a decimal. =
  39. 39.Write 3⁷ × 3⁸ as a single power 3ⁿ. What is n?
  40. 40.What is the value of (2/9)⁻²? =

Answer key

  1. 7
  2. 625
  3. 1/4
  4. 6561
  5. 0.00022
  6. 1
  7. 8
  8. 3
  9. 65536
  10. 4
  11. 1/243
  12. 1000
  13. 0.031
  14. 9
  15. 3
  16. 9/4
  17. 38000
  18. 25
  19. 16384
  20. 32768
  21. 100
  22. 0.0083
  23. 64
  24. 36
  25. 0.49
  26. 3
  27. 5400000
  28. 7
  29. 0.093
  30. 210000
  31. 18
  32. 21
  33. 4/3
  34. 1/3
  35. 45
  36. 9300000
  37. 5/3
  38. 0.016
  39. 15
  40. 81/4

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