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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 323 · 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 2⁻⁴ (as a fraction)? =
  2. 2.What is the value of (5/6)⁻¹? =
  3. 3.Write 9.9 × 10⁻¹ as a decimal. =
  4. 4.Write 4 × 10⁻² as a decimal. =
  5. 5.What is the value of 3⁶ × 3⁻²? =
  6. 6.Write 6.1 × 10⁻² as a decimal. =
  7. 7.What is the value of 4⁻⁴ (as a fraction)? =
  8. 8.What is the value of 4³? =
  9. 9.4.1 × 10⁵ =
  10. 10.Write 5.4 × 10⁻² as a decimal. =
  11. 11.Write (2⁷)³ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 2¹²? =
  13. 13.Write 6² × 6⁴ as a single power 6ⁿ. What is n?
  14. 14.Write 2.4 × 10⁻³ as a decimal. =
  15. 15.Write (9⁷)³ as a single power 9ⁿ. What is n?
  16. 16.Write 5³ × 5⁶ as a single power 5ⁿ. What is n?
  17. 17.Write (5⁵)⁸ as a single power 5ⁿ. What is n?
  18. 18.Write 9³ × 9³ as a single power 9ⁿ. What is n?
  19. 19.Write 7 × 10⁻² as a decimal. =
  20. 20.What is the value of 10⁻¹ (as a fraction)? =
  21. 21.What is the value of 5¹ × 5⁻³? =
  22. 22.Write (2⁴)³ as a single power 2ⁿ. What is n?
  23. 23.What is the value of (1/2)⁻¹? =
  24. 24.What is the value of 2³? =
  25. 25.What is the value of (2/5)⁻¹? =
  26. 26.What is the value of 3² × 3⁻⁵? =
  27. 27.What is the value of 2²? =
  28. 28.Write 36,000 in standard form as 3.6 × 10ⁿ. What is n?
  29. 29.What is the value of 7⁴? =
  30. 30.Write 9¹¹ ÷ 9⁵ as a single power 9ⁿ. What is n?
  31. 31.What is the value of 5⁶? =
  32. 32.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  33. 33.6.2 × 10⁴ =
  34. 34.Write 1.7 × 10⁻⁴ as a decimal. =
  35. 35.Write 4⁸ × 4⁶ as a single power 4ⁿ. What is n?
  36. 36.What is the value of 2¹ × 2⁻³? =
  37. 37.8.2 × 10² =
  38. 38.What is the value of 3⁶ × 3⁻⁴? =
  39. 39.Write 4.8 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of (6/7)⁻¹? =

Answer key

  1. 1/16
  2. 6/5
  3. 0.99
  4. 0.04
  5. 81
  6. 0.061
  7. 1/256
  8. 64
  9. 410000
  10. 0.054
  11. 21
  12. 4096
  13. 6
  14. 0.0024
  15. 21
  16. 9
  17. 40
  18. 6
  19. 0.07
  20. 1/10
  21. 1/25
  22. 12
  23. 2
  24. 8
  25. 5/2
  26. 1/27
  27. 4
  28. 4
  29. 2401
  30. 6
  31. 15625
  32. 4
  33. 62000
  34. 0.00017
  35. 14
  36. 1/4
  37. 820
  38. 9
  39. 0.00048
  40. 7/6

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