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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 645 · 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 5⁴ × 5⁻¹? =
  2. 2.7.7 × 10⁷ =
  3. 3.What is the value of 9³? =
  4. 4.Write 3,100 in standard form as 3.1 × 10ⁿ. What is n?
  5. 5.What is the value of 5⁶ × 5⁻¹? =
  6. 6.Write 4.9 × 10⁻⁴ as a decimal. =
  7. 7.4.7 × 10² =
  8. 8.What is the value of 10³ × 10⁻⁶? =
  9. 9.What is the value of 10⁶ × 10⁻⁵? =
  10. 10.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
  11. 11.What is the value of 3⁶ × 3⁻⁶? =
  12. 12.Write 6.2 × 10⁻² as a decimal. =
  13. 13.What is the value of 2⁶? =
  14. 14.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  15. 15.Write (8⁸)⁴ as a single power 8ⁿ. What is n?
  16. 16.What is the value of (5/6)⁻²? =
  17. 17.What is the value of 2⁶ × 2⁻⁴? =
  18. 18.Write 24,000 in standard form as 2.4 × 10ⁿ. What is n?
  19. 19.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  20. 20.Write 8⁷ × 8⁹ as a single power 8ⁿ. What is n?
  21. 21.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?
  22. 22.What is the value of 10¹ × 10⁻⁵? =
  23. 23.What is the value of 10³ × 10⁻³? =
  24. 24.What is the value of (1/4)⁻²? =
  25. 25.Write 6⁴ × 6³ as a single power 6ⁿ. What is n?
  26. 26.What is the value of 3⁴ × 3⁻⁵? =
  27. 27.What is the value of 8⁻³ (as a fraction)? =
  28. 28.What is the value of 10⁵? =
  29. 29.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  30. 30.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
  31. 31.What is the value of 4⁻³ (as a fraction)? =
  32. 32.What is the value of (5/9)⁻¹? =
  33. 33.What is the value of 2⁵ × 2⁻³? =
  34. 34.Write 18,000 in standard form as 1.8 × 10ⁿ. What is n?
  35. 35.What is the value of 2³? =
  36. 36.What is the value of 2¹³? =
  37. 37.Write 8¹¹ ÷ 8⁵ as a single power 8ⁿ. What is n?
  38. 38.Write 2.5 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 10⁵ × 10⁻⁶? =
  40. 40.What is the value of 2¹¹? =

Answer key

  1. 125
  2. 77000000
  3. 729
  4. 3
  5. 3125
  6. 0.00049
  7. 470
  8. 1/1000
  9. 10
  10. 12
  11. 1
  12. 0.062
  13. 64
  14. 7
  15. 32
  16. 36/25
  17. 4
  18. 4
  19. 3
  20. 16
  21. 11
  22. 1/10000
  23. 1
  24. 16
  25. 7
  26. 1/3
  27. 1/512
  28. 100000
  29. 2
  30. 72
  31. 1/64
  32. 9/5
  33. 4
  34. 4
  35. 8
  36. 8192
  37. 6
  38. 0.25
  39. 1/10
  40. 2048

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