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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 866 · 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 4²? =
  2. 2.Write 4.5 × 10⁻¹ as a decimal. =
  3. 3.Write 7⁷ × 7⁶ as a single power 7ⁿ. What is n?
  4. 4.What is the value of 10⁵ × 10⁻⁴? =
  5. 5.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  6. 6.6.8 × 10³ =
  7. 7.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  8. 8.Write 1.2 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 2⁻⁷ (as a fraction)? =
  10. 10.Write 3.4 × 10⁻² as a decimal. =
  11. 11.What is the value of 3² × 3⁻⁴? =
  12. 12.What is the value of 2⁻⁸ (as a fraction)? =
  13. 13.What is the value of 10⁴ × 10⁻³? =
  14. 14.What is the value of 10² × 10⁻²? =
  15. 15.Write 3.4 × 10⁻³ as a decimal. =
  16. 16.What is the value of 6⁶? =
  17. 17.What is the value of 2⁶ × 2⁻⁴? =
  18. 18.What is the value of 2⁹? =
  19. 19.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?
  20. 20.What is the value of 5⁵ × 5⁻³? =
  21. 21.What is the value of (8/9)⁻²? =
  22. 22.What is the value of 9⁻¹ (as a fraction)? =
  23. 23.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  24. 24.What is the value of 3⁵ × 3⁻⁵? =
  25. 25.What is the value of (5/8)⁻¹? =
  26. 26.Write 4.6 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of (1/5)⁻²? =
  28. 28.Write (7⁴)⁵ as a single power 7ⁿ. What is n?
  29. 29.What is the value of (4/7)⁻¹? =
  30. 30.What is the value of 3² × 3⁻¹? =
  31. 31.Write 8.8 × 10⁻¹ as a decimal. =
  32. 32.Write 6⁷ ÷ 6⁴ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 3²? =
  34. 34.What is the value of 4⁵? =
  35. 35.What is the value of 5⁷? =
  36. 36.Write (7³)² as a single power 7ⁿ. What is n?
  37. 37.What is the value of 2⁴ × 2⁻¹? =
  38. 38.What is the value of (4/5)⁻²? =
  39. 39.What is the value of 10⁶ × 10⁻²? =
  40. 40.What is the value of 10⁻³ (as a fraction)? =

Answer key

  1. 16
  2. 0.45
  3. 13
  4. 10
  5. 8
  6. 6800
  7. 10
  8. 0.00012
  9. 1/128
  10. 0.034
  11. 1/9
  12. 1/256
  13. 10
  14. 1
  15. 0.0034
  16. 46656
  17. 4
  18. 512
  19. 5
  20. 25
  21. 81/64
  22. 1/9
  23. 3
  24. 1
  25. 8/5
  26. 0.00046
  27. 25
  28. 20
  29. 7/4
  30. 3
  31. 0.88
  32. 3
  33. 9
  34. 1024
  35. 78125
  36. 6
  37. 8
  38. 25/16
  39. 10000
  40. 1/1000

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