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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 199 · 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.Write 1.7 × 10⁻² as a decimal. =
  2. 2.Write 7¹³ ÷ 7⁴ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2¹³? =
  4. 4.9.7 × 10⁶ =
  5. 5.1.6 × 10² =
  6. 6.What is the value of 2¹¹? =
  7. 7.What is the value of (2/3)⁻²? =
  8. 8.Write 5.7 × 10⁻³ as a decimal. =
  9. 9.Write 4⁴ × 4⁶ as a single power 4ⁿ. What is n?
  10. 10.Write 3.2 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 7²? =
  12. 12.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  13. 13.What is the value of 2⁻³ (as a fraction)? =
  14. 14.What is the value of (1/9)⁻²? =
  15. 15.What is the value of 2⁻⁴ (as a fraction)? =
  16. 16.Write (2²)⁶ as a single power 2ⁿ. What is n?
  17. 17.5.8 × 10⁷ =
  18. 18.What is the value of 3³? =
  19. 19.What is the value of (5/9)⁻²? =
  20. 20.What is the value of 2³? =
  21. 21.Write 6⁶ × 6² as a single power 6ⁿ. What is n?
  22. 22.Write 9.7 × 10⁻⁴ as a decimal. =
  23. 23.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
  24. 24.Write 6,300 in standard form as 6.3 × 10ⁿ. What is n?
  25. 25.What is the value of 2¹⁵? =
  26. 26.Write 4⁶ × 4⁸ as a single power 4ⁿ. What is n?
  27. 27.Write 2.9 × 10⁻² as a decimal. =
  28. 28.Write (4⁴)⁷ as a single power 4ⁿ. What is n?
  29. 29.What is the value of 2⁵ × 2⁻⁶? =
  30. 30.4.4 × 10⁷ =
  31. 31.Write 8.9 × 10⁻⁴ as a decimal. =
  32. 32.Write 3¹⁵ ÷ 3⁷ as a single power 3ⁿ. What is n?
  33. 33.3.6 × 10⁶ =
  34. 34.Write 3.1 × 10⁻⁴ as a decimal. =
  35. 35.Write 9⁴ ÷ 9² as a single power 9ⁿ. What is n?
  36. 36.Write 9⁶ × 9² as a single power 9ⁿ. What is n?
  37. 37.Write 7⁴ × 7⁸ as a single power 7ⁿ. What is n?
  38. 38.5.5 × 10³ =
  39. 39.Write 2.2 × 10⁻² as a decimal. =
  40. 40.What is the value of 3⁶ × 3⁻¹? =

Answer key

  1. 0.017
  2. 9
  3. 8192
  4. 9700000
  5. 160
  6. 2048
  7. 9/4
  8. 0.0057
  9. 10
  10. 0.32
  11. 49
  12. 6
  13. 1/8
  14. 81
  15. 1/16
  16. 12
  17. 58000000
  18. 27
  19. 81/25
  20. 8
  21. 8
  22. 0.00097
  23. 54
  24. 3
  25. 32768
  26. 14
  27. 0.029
  28. 28
  29. 1/2
  30. 44000000
  31. 0.00089
  32. 8
  33. 3600000
  34. 0.00031
  35. 2
  36. 8
  37. 12
  38. 5500
  39. 0.022
  40. 243

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