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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 421 · 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. 1.8.2 × 10² =
  2. 2.What is the value of 5⁴ × 5⁻⁶? =
  3. 3.What is the value of 5⁷? =
  4. 4.What is the value of 6⁻² (as a fraction)? =
  5. 5.What is the value of 2²? =
  6. 6.What is the value of 8⁻² (as a fraction)? =
  7. 7.Write 5.8 × 10⁻¹ as a decimal. =
  8. 8.Write 7.1 × 10⁻¹ as a decimal. =
  9. 9.Write 7⁶ × 7⁸ as a single power 7ⁿ. What is n?
  10. 10.What is the value of 2⁵ × 2⁻⁶? =
  11. 11.Write 3⁵ ÷ 3² as a single power 3ⁿ. What is n?
  12. 12.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
  13. 13.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?
  14. 14.Write 1.2 × 10⁻¹ as a decimal. =
  15. 15.Write 5,900 in standard form as 5.9 × 10ⁿ. What is n?
  16. 16.Write 3⁸ ÷ 3⁴ as a single power 3ⁿ. What is n?
  17. 17.What is the value of 6⁴? =
  18. 18.Write 2.7 × 10⁻¹ as a decimal. =
  19. 19.Write 3 × 10⁻⁴ as a decimal. =
  20. 20.Write 3 × 10⁻² as a decimal. =
  21. 21.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  22. 22.Write 7.1 × 10⁻³ as a decimal. =
  23. 23.Write 2.2 × 10⁻³ as a decimal. =
  24. 24.4.3 × 10⁴ =
  25. 25.Write 5,50,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  26. 26.Write (2⁴)² as a single power 2ⁿ. What is n?
  27. 27.What is the value of (1/3)⁻¹? =
  28. 28.What is the value of (2/3)⁻¹? =
  29. 29.Write 2.7 × 10⁻³ as a decimal. =
  30. 30.Write 7² × 7⁴ as a single power 7ⁿ. What is n?
  31. 31.What is the value of 2¹⁰? =
  32. 32.What is the value of 2⁴ × 2⁻⁴? =
  33. 33.Write 7⁷ × 7⁴ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 3¹ × 3⁻³? =
  35. 35.Write 3.4 × 10⁻² as a decimal. =
  36. 36.What is the value of 3⁶? =
  37. 37.What is the value of 3³ × 3⁻³? =
  38. 38.5.3 × 10² =
  39. 39.2.5 × 10⁷ =
  40. 40.4.9 × 10⁵ =

Answer key

  1. 820
  2. 1/25
  3. 78125
  4. 1/36
  5. 4
  6. 1/64
  7. 0.58
  8. 0.71
  9. 14
  10. 1/2
  11. 3
  12. 2
  13. 15
  14. 0.12
  15. 3
  16. 4
  17. 1296
  18. 0.27
  19. 0.0003
  20. 0.03
  21. 14
  22. 0.0071
  23. 0.0022
  24. 43000
  25. 7
  26. 8
  27. 3
  28. 3/2
  29. 0.0027
  30. 6
  31. 1024
  32. 1
  33. 11
  34. 1/9
  35. 0.034
  36. 729
  37. 1
  38. 530
  39. 25000000
  40. 490000

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