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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 484 · 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 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  2. 2.Write 1.3 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of (4/7)⁻¹? =
  4. 4.What is the value of 2⁻⁴ (as a fraction)? =
  5. 5.Write 59,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  6. 6.What is the value of 5¹ × 5⁻¹? =
  7. 7.2.4 × 10² =
  8. 8.What is the value of 8⁴? =
  9. 9.What is the value of 2¹⁴? =
  10. 10.Write 9.7 × 10⁻² as a decimal. =
  11. 11.3.1 × 10³ =
  12. 12.Write (9⁴)⁹ as a single power 9ⁿ. What is n?
  13. 13.Write 4.8 × 10⁻⁴ as a decimal. =
  14. 14.Write 8,200 in standard form as 8.2 × 10ⁿ. What is n?
  15. 15.What is the value of 2⁻¹ (as a fraction)? =
  16. 16.Write (4³)⁹ as a single power 4ⁿ. What is n?
  17. 17.Write (9⁶)⁶ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 2⁴? =
  19. 19.What is the value of 2⁶ × 2⁻⁶? =
  20. 20.What is the value of 3³ × 3⁻³? =
  21. 21.What is the value of 3⁻² (as a fraction)? =
  22. 22.What is the value of 3⁵? =
  23. 23.Write 2⁵ × 2⁶ as a single power 2ⁿ. What is n?
  24. 24.Write 8.4 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 3¹ × 3⁻⁴? =
  26. 26.Write 6.3 × 10⁻² as a decimal. =
  27. 27.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
  28. 28.What is the value of (1/4)⁻¹? =
  29. 29.Write 67,00,000 in standard form as 6.7 × 10ⁿ. What is n?
  30. 30.7.1 × 10⁵ =
  31. 31.Write 6¹¹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  32. 32.Write 6.9 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of 3⁶? =
  34. 34.Write 8.6 × 10⁻³ as a decimal. =
  35. 35.6.2 × 10⁷ =
  36. 36.Write 5.8 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 2²? =
  38. 38.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
  39. 39.1.3 × 10² =
  40. 40.Write (4⁵)⁶ as a single power 4ⁿ. What is n?

Answer key

  1. 6
  2. 0.00013
  3. 7/4
  4. 1/16
  5. 6
  6. 1
  7. 240
  8. 4096
  9. 16384
  10. 0.097
  11. 3100
  12. 36
  13. 0.00048
  14. 3
  15. 1/2
  16. 27
  17. 36
  18. 16
  19. 1
  20. 1
  21. 1/9
  22. 243
  23. 11
  24. 0.84
  25. 1/27
  26. 0.063
  27. 2
  28. 4
  29. 6
  30. 710000
  31. 6
  32. 0.00069
  33. 729
  34. 0.0086
  35. 62000000
  36. 0.00058
  37. 4
  38. 5
  39. 130
  40. 30

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