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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 590 · 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.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  2. 2.Write 2.5 × 10⁻² as a decimal. =
  3. 3.What is the value of 5²? =
  4. 4.3 × 10² =
  5. 5.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  6. 6.What is the value of (1/7)⁻²? =
  7. 7.What is the value of 7⁻¹ (as a fraction)? =
  8. 8.What is the value of 3⁶ × 3⁻¹? =
  9. 9.What is the value of 3⁴ × 3⁻³? =
  10. 10.What is the value of 5⁵? =
  11. 11.Write 5.2 × 10⁻³ as a decimal. =
  12. 12.Write 4.5 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 2²? =
  14. 14.Write 8¹⁴ ÷ 8⁹ as a single power 8ⁿ. What is n?
  15. 15.Write 4⁸ × 4³ as a single power 4ⁿ. What is n?
  16. 16.Write (2⁸)⁵ as a single power 2ⁿ. What is n?
  17. 17.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  18. 18.Write 2.7 × 10⁻⁴ as a decimal. =
  19. 19.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  20. 20.Write 6 × 10⁻⁴ as a decimal. =
  21. 21.Write 5³ × 5³ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 3⁵ × 3⁻³? =
  23. 23.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 2² × 2⁻³? =
  25. 25.What is the value of (5/8)⁻¹? =
  26. 26.What is the value of 2⁻⁹ (as a fraction)? =
  27. 27.What is the value of 2⁻³ (as a fraction)? =
  28. 28.6.8 × 10³ =
  29. 29.What is the value of 5⁴? =
  30. 30.What is the value of 3¹ × 3⁻⁴? =
  31. 31.What is the value of 5⁻³ (as a fraction)? =
  32. 32.Write 6¹² ÷ 6⁹ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 2³? =
  34. 34.What is the value of 3⁶? =
  35. 35.Write 1.3 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 10² × 10⁻⁴? =
  37. 37.Write 3.5 × 10⁻¹ as a decimal. =
  38. 38.Write 1.9 × 10⁻³ as a decimal. =
  39. 39.What is the value of 7⁵? =
  40. 40.Write 53,000 in standard form as 5.3 × 10ⁿ. What is n?

Answer key

  1. 6
  2. 0.025
  3. 25
  4. 300
  5. 2
  6. 49
  7. 1/7
  8. 243
  9. 3
  10. 3125
  11. 0.0052
  12. 0.00045
  13. 4
  14. 5
  15. 11
  16. 40
  17. 7
  18. 0.00027
  19. 9
  20. 0.0006
  21. 6
  22. 9
  23. 3
  24. 1/2
  25. 8/5
  26. 1/512
  27. 1/8
  28. 6800
  29. 625
  30. 1/27
  31. 1/125
  32. 3
  33. 8
  34. 729
  35. 0.13
  36. 1/100
  37. 0.35
  38. 0.0019
  39. 16807
  40. 4

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