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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 832 · 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 5⁶ × 5⁻⁶? =
  2. 2.What is the value of 2¹⁶? =
  3. 3.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  4. 4.What is the value of 4⁻¹ (as a fraction)? =
  5. 5.2 × 10² =
  6. 6.What is the value of 6⁻³ (as a fraction)? =
  7. 7.Write 3.3 × 10⁻² as a decimal. =
  8. 8.What is the value of 5³? =
  9. 9.What is the value of 6⁶? =
  10. 10.Write 6¹⁰ ÷ 6⁶ as a single power 6ⁿ. What is n?
  11. 11.Write 7⁶ × 7⁹ as a single power 7ⁿ. What is n?
  12. 12.Write 5.9 × 10⁻⁴ as a decimal. =
  13. 13.Write 6⁴ × 6⁹ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 9⁵? =
  15. 15.Write 3¹³ ÷ 3⁵ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 2⁻¹ (as a fraction)? =
  17. 17.Write 6,800 in standard form as 6.8 × 10ⁿ. What is n?
  18. 18.What is the value of (5/9)⁻¹? =
  19. 19.What is the value of 5³ × 5⁻¹? =
  20. 20.What is the value of 8³? =
  21. 21.5.2 × 10⁵ =
  22. 22.Write (4⁶)⁶ as a single power 4ⁿ. What is n?
  23. 23.Write 5⁹ × 5⁸ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 2⁶ × 2⁻⁵? =
  25. 25.Write 1.7 × 10⁻¹ as a decimal. =
  26. 26.4.6 × 10³ =
  27. 27.Write (8⁴)⁵ as a single power 8ⁿ. What is n?
  28. 28.Write 5⁸ ÷ 5⁵ as a single power 5ⁿ. What is n?
  29. 29.What is the value of 5²? =
  30. 30.Write (3⁸)⁴ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 5⁻⁴ (as a fraction)? =
  32. 32.Write 8⁸ × 8⁹ as a single power 8ⁿ. What is n?
  33. 33.4.1 × 10⁶ =
  34. 34.What is the value of 9⁻² (as a fraction)? =
  35. 35.Write 9.8 × 10⁻² as a decimal. =
  36. 36.What is the value of 8²? =
  37. 37.What is the value of 10⁻¹ (as a fraction)? =
  38. 38.What is the value of (2/7)⁻¹? =
  39. 39.What is the value of 2² × 2⁻⁵? =
  40. 40.What is the value of 5⁶? =

Answer key

  1. 1
  2. 65536
  3. 5
  4. 1/4
  5. 200
  6. 1/216
  7. 0.033
  8. 125
  9. 46656
  10. 4
  11. 15
  12. 0.00059
  13. 13
  14. 59049
  15. 8
  16. 1/2
  17. 3
  18. 9/5
  19. 25
  20. 512
  21. 520000
  22. 36
  23. 17
  24. 2
  25. 0.17
  26. 4600
  27. 20
  28. 3
  29. 25
  30. 32
  31. 1/625
  32. 17
  33. 4100000
  34. 1/81
  35. 0.098
  36. 64
  37. 1/10
  38. 7/2
  39. 1/8
  40. 15625

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