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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 766 · 40 sums
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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 3³ × 3⁻⁴? =
  2. 2.What is the value of (4/9)⁻¹? =
  3. 3.Write 6.3 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of (3/8)⁻²? =
  5. 5.What is the value of 2⁴ × 2⁻⁵? =
  6. 6.What is the value of 3⁵ × 3⁻⁵? =
  7. 7.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  8. 8.6.6 × 10² =
  9. 9.Write (5³)² as a single power 5ⁿ. What is n?
  10. 10.Write 4⁶ × 4⁶ as a single power 4ⁿ. What is n?
  11. 11.What is the value of 2⁶ × 2⁻³? =
  12. 12.What is the value of 2³ × 2⁻¹? =
  13. 13.What is the value of 3³ × 3⁻²? =
  14. 14.What is the value of 5³ × 5⁻⁴? =
  15. 15.What is the value of 9⁻² (as a fraction)? =
  16. 16.What is the value of 6⁴? =
  17. 17.Write 6.4 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 2³ × 2⁻²? =
  19. 19.What is the value of 5² × 5⁻⁵? =
  20. 20.Write 3.7 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 4²? =
  22. 22.Write 3 × 10⁻² as a decimal. =
  23. 23.9.2 × 10³ =
  24. 24.What is the value of 3⁻¹ (as a fraction)? =
  25. 25.What is the value of 5² × 5⁻³? =
  26. 26.What is the value of 6²? =
  27. 27.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  28. 28.Write 9⁹ × 9⁶ as a single power 9ⁿ. What is n?
  29. 29.Write 8¹⁴ ÷ 8⁹ as a single power 8ⁿ. What is n?
  30. 30.Write 600 in standard form as 6 × 10ⁿ. What is n?
  31. 31.What is the value of 3⁶ × 3⁻⁴? =
  32. 32.Write 1.8 × 10⁻² as a decimal. =
  33. 33.Write 3¹² ÷ 3⁵ as a single power 3ⁿ. What is n?
  34. 34.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  35. 35.Write 2.7 × 10⁻⁴ as a decimal. =
  36. 36.Write 3⁵ × 3⁶ as a single power 3ⁿ. What is n?
  37. 37.Write 5.9 × 10⁻² as a decimal. =
  38. 38.Write 2⁹ × 2⁶ as a single power 2ⁿ. What is n?
  39. 39.Write 1.9 × 10⁻¹ as a decimal. =
  40. 40.Write 8,90,00,000 in standard form as 8.9 × 10ⁿ. What is n?

Answer key

  1. 1/3
  2. 9/4
  3. 0.00063
  4. 64/9
  5. 1/2
  6. 1
  7. 9
  8. 660
  9. 6
  10. 12
  11. 8
  12. 4
  13. 3
  14. 1/5
  15. 1/81
  16. 1296
  17. 0.64
  18. 2
  19. 1/125
  20. 0.00037
  21. 16
  22. 0.03
  23. 9200
  24. 1/3
  25. 1/5
  26. 36
  27. 2
  28. 15
  29. 5
  30. 2
  31. 9
  32. 0.018
  33. 7
  34. 5
  35. 0.00027
  36. 11
  37. 0.059
  38. 15
  39. 0.19
  40. 7

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