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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 903 · 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 2¹⁵? =
  2. 2.Write 5⁶ × 5⁶ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 5⁴? =
  4. 4.What is the value of 2⁻⁹ (as a fraction)? =
  5. 5.Write 6.4 × 10⁻¹ as a decimal. =
  6. 6.Write 7.4 × 10⁻² as a decimal. =
  7. 7.What is the value of 3⁷? =
  8. 8.Write 8⁵ × 8² as a single power 8ⁿ. What is n?
  9. 9.Write 3 × 10⁻³ as a decimal. =
  10. 10.What is the value of 10² × 10⁻⁴? =
  11. 11.Write 4⁵ × 4⁶ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 5¹ × 5⁻⁶? =
  13. 13.What is the value of (1/3)⁻¹? =
  14. 14.Write 5.1 × 10⁻² as a decimal. =
  15. 15.Write 3.1 × 10⁻³ as a decimal. =
  16. 16.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?
  17. 17.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  18. 18.Write 8.6 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 5⁷? =
  20. 20.1.1 × 10³ =
  21. 21.What is the value of 4⁴? =
  22. 22.What is the value of (1/4)⁻¹? =
  23. 23.Write 93,000 in standard form as 9.3 × 10ⁿ. What is n?
  24. 24.What is the value of (1/8)⁻¹? =
  25. 25.Write 3.1 × 10⁻² as a decimal. =
  26. 26.Write 2¹⁰ ÷ 2³ as a single power 2ⁿ. What is n?
  27. 27.Write 4⁷ × 4⁵ as a single power 4ⁿ. What is n?
  28. 28.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  29. 29.What is the value of 10⁴ × 10⁻¹? =
  30. 30.What is the value of 3³? =
  31. 31.Write 4.8 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 8²? =
  33. 33.What is the value of 5⁴ × 5⁻²? =
  34. 34.Write (2⁵)³ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 9³? =
  36. 36.Write (6⁷)⁸ as a single power 6ⁿ. What is n?
  37. 37.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  38. 38.Write 4.4 × 10⁻¹ as a decimal. =
  39. 39.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  40. 40.What is the value of 10¹ × 10⁻⁴? =

Answer key

  1. 32768
  2. 12
  3. 625
  4. 1/512
  5. 0.64
  6. 0.074
  7. 2187
  8. 7
  9. 0.003
  10. 1/100
  11. 11
  12. 1/3125
  13. 3
  14. 0.051
  15. 0.0031
  16. 15
  17. 5
  18. 0.86
  19. 78125
  20. 1100
  21. 256
  22. 4
  23. 4
  24. 8
  25. 0.031
  26. 7
  27. 12
  28. 2
  29. 1000
  30. 27
  31. 0.48
  32. 64
  33. 25
  34. 15
  35. 729
  36. 56
  37. 2
  38. 0.44
  39. 12
  40. 1/1000

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