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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 937 · 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 3³ × 3⁵ as a single power 3ⁿ. What is n?
  2. 2.Write 3² × 3⁵ as a single power 3ⁿ. What is n?
  3. 3.6.1 × 10⁴ =
  4. 4.Write 9.1 × 10⁻¹ as a decimal. =
  5. 5.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  6. 6.What is the value of 8⁻¹ (as a fraction)? =
  7. 7.Write 4⁵ × 4⁹ as a single power 4ⁿ. What is n?
  8. 8.What is the value of 5⁴ × 5⁻¹? =
  9. 9.Write 6¹⁴ ÷ 6⁵ as a single power 6ⁿ. What is n?
  10. 10.Write 7,80,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  11. 11.Write 8⁸ × 8⁷ as a single power 8ⁿ. What is n?
  12. 12.4.5 × 10⁷ =
  13. 13.8.8 × 10³ =
  14. 14.What is the value of 2⁻⁹ (as a fraction)? =
  15. 15.What is the value of 2⁷? =
  16. 16.What is the value of 2¹ × 2⁻³? =
  17. 17.Write 9.4 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 10² × 10⁻⁴? =
  19. 19.Write 45,000 in standard form as 4.5 × 10ⁿ. What is n?
  20. 20.7.4 × 10⁶ =
  21. 21.What is the value of 8²? =
  22. 22.What is the value of 6²? =
  23. 23.What is the value of 5² × 5⁻⁵? =
  24. 24.What is the value of 5³ × 5⁻⁶? =
  25. 25.What is the value of 2⁵ × 2⁻³? =
  26. 26.7.3 × 10⁴ =
  27. 27.What is the value of 4⁵? =
  28. 28.3.9 × 10⁶ =
  29. 29.What is the value of 4⁴? =
  30. 30.What is the value of (4/9)⁻¹? =
  31. 31.Write 3⁹ ÷ 3³ as a single power 3ⁿ. What is n?
  32. 32.Write 5.2 × 10⁻² as a decimal. =
  33. 33.7.6 × 10² =
  34. 34.What is the value of (1/2)⁻¹? =
  35. 35.What is the value of (6/7)⁻¹? =
  36. 36.Write 4² × 4⁹ as a single power 4ⁿ. What is n?
  37. 37.9.1 × 10⁵ =
  38. 38.Write 5⁴ × 5⁸ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 2⁵ × 2⁻²? =
  40. 40.What is the value of 2⁸? =

Answer key

  1. 8
  2. 7
  3. 61000
  4. 0.91
  5. 5
  6. 1/8
  7. 14
  8. 125
  9. 9
  10. 7
  11. 15
  12. 45000000
  13. 8800
  14. 1/512
  15. 128
  16. 1/4
  17. 0.94
  18. 1/100
  19. 4
  20. 7400000
  21. 64
  22. 36
  23. 1/125
  24. 1/125
  25. 4
  26. 73000
  27. 1024
  28. 3900000
  29. 256
  30. 9/4
  31. 6
  32. 0.052
  33. 760
  34. 2
  35. 7/6
  36. 11
  37. 910000
  38. 12
  39. 8
  40. 256

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