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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 333 · 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 (2/7)⁻¹? =
  2. 2.What is the value of (4/7)⁻¹? =
  3. 3.Write 94,000 in standard form as 9.4 × 10ⁿ. What is n?
  4. 4.What is the value of 7⁴? =
  5. 5.9.5 × 10³ =
  6. 6.What is the value of 4⁷? =
  7. 7.What is the value of 6⁻¹ (as a fraction)? =
  8. 8.What is the value of 3⁵ × 3⁻⁶? =
  9. 9.Write 8 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 2⁴ × 2⁻¹? =
  11. 11.What is the value of 5⁶ × 5⁻²? =
  12. 12.What is the value of 4⁵? =
  13. 13.Write 4⁶ × 4³ as a single power 4ⁿ. What is n?
  14. 14.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  15. 15.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  16. 16.What is the value of (2/3)⁻²? =
  17. 17.What is the value of 3⁶ × 3⁻⁵? =
  18. 18.What is the value of 2⁵ × 2⁻⁵? =
  19. 19.What is the value of 3⁴? =
  20. 20.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 2⁴? =
  22. 22.What is the value of 3² × 3⁻³? =
  23. 23.Write 3.8 × 10⁻⁴ as a decimal. =
  24. 24.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  25. 25.What is the value of 7⁻² (as a fraction)? =
  26. 26.Write 8.7 × 10⁻³ as a decimal. =
  27. 27.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  28. 28.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  29. 29.What is the value of 10⁶ × 10⁻²? =
  30. 30.What is the value of 5¹ × 5⁻²? =
  31. 31.Write 84,000 in standard form as 8.4 × 10ⁿ. What is n?
  32. 32.What is the value of 3⁻² (as a fraction)? =
  33. 33.What is the value of 2² × 2⁻⁵? =
  34. 34.What is the value of 3³ × 3⁻⁶? =
  35. 35.What is the value of 3⁷? =
  36. 36.What is the value of 2⁹? =
  37. 37.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  38. 38.What is the value of 9⁵? =
  39. 39.Write 9.5 × 10⁻⁴ as a decimal. =
  40. 40.Write 2⁶ ÷ 2² as a single power 2ⁿ. What is n?

Answer key

  1. 7/2
  2. 7/4
  3. 4
  4. 2401
  5. 9500
  6. 16384
  7. 1/6
  8. 1/3
  9. 0.8
  10. 8
  11. 625
  12. 1024
  13. 9
  14. 9
  15. 13
  16. 9/4
  17. 3
  18. 1
  19. 81
  20. 8
  21. 16
  22. 1/3
  23. 0.00038
  24. 2
  25. 1/49
  26. 0.0087
  27. 4
  28. 3
  29. 10000
  30. 1/5
  31. 4
  32. 1/9
  33. 1/8
  34. 1/27
  35. 2187
  36. 512
  37. 12
  38. 59049
  39. 0.00095
  40. 4

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