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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 341 · 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 (3/5)⁻¹? =
  2. 2.What is the value of 2⁴ × 2⁻²? =
  3. 3.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  4. 4.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  5. 5.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  6. 6.Write 7.4 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 4⁻⁴ (as a fraction)? =
  8. 8.Write 620 in standard form as 6.2 × 10ⁿ. What is n?
  9. 9.Write (9⁸)² as a single power 9ⁿ. What is n?
  10. 10.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  11. 11.Write (2²)⁴ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 4⁴? =
  13. 13.Write 1.8 × 10⁻² as a decimal. =
  14. 14.Write 2.9 × 10⁻² as a decimal. =
  15. 15.Write 7⁹ × 7⁹ as a single power 7ⁿ. What is n?
  16. 16.What is the value of 2⁶ × 2⁻¹? =
  17. 17.Write 4.6 × 10⁻² as a decimal. =
  18. 18.What is the value of 2³ × 2⁻²? =
  19. 19.What is the value of 5⁶? =
  20. 20.What is the value of 5² × 5⁻⁵? =
  21. 21.Write 1.6 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of (1/2)⁻²? =
  23. 23.What is the value of 10² × 10⁻³? =
  24. 24.Write 6.6 × 10⁻³ as a decimal. =
  25. 25.What is the value of 2⁵ × 2⁻²? =
  26. 26.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  27. 27.Write 6,60,000 in standard form as 6.6 × 10ⁿ. What is n?
  28. 28.8.1 × 10³ =
  29. 29.Write (2⁷)⁴ as a single power 2ⁿ. What is n?
  30. 30.Write (5³)⁸ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 2¹⁰? =
  32. 32.Write 9⁶ × 9³ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 10⁻² (as a fraction)? =
  34. 34.What is the value of 8²? =
  35. 35.What is the value of (4/7)⁻²? =
  36. 36.Write 3.6 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 2⁶? =
  38. 38.Write 4⁴ × 4⁷ as a single power 4ⁿ. What is n?
  39. 39.Write 5.3 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 2⁻⁴ (as a fraction)? =

Answer key

  1. 5/3
  2. 4
  3. 2
  4. 7
  5. 9
  6. 0.00074
  7. 1/256
  8. 2
  9. 16
  10. 3
  11. 8
  12. 256
  13. 0.018
  14. 0.029
  15. 18
  16. 32
  17. 0.046
  18. 2
  19. 15625
  20. 1/125
  21. 0.00016
  22. 4
  23. 1/10
  24. 0.0066
  25. 8
  26. 9
  27. 5
  28. 8100
  29. 28
  30. 24
  31. 1024
  32. 9
  33. 1/100
  34. 64
  35. 49/16
  36. 0.36
  37. 64
  38. 11
  39. 0.53
  40. 1/16

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