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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 799 · 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 (3/4)⁻¹? =
  2. 2.Write 99,000 in standard form as 9.9 × 10ⁿ. What is n?
  3. 3.What is the value of 7²? =
  4. 4.What is the value of 10¹ × 10⁻¹? =
  5. 5.Write 3.5 × 10⁻⁴ as a decimal. =
  6. 6.2 × 10³ =
  7. 7.What is the value of 9⁵? =
  8. 8.Write 4.5 × 10⁻¹ as a decimal. =
  9. 9.Write 1.8 × 10⁻² as a decimal. =
  10. 10.What is the value of 2⁴ × 2⁻²? =
  11. 11.Write 4,100 in standard form as 4.1 × 10ⁿ. What is n?
  12. 12.What is the value of 2⁹? =
  13. 13.What is the value of 2⁻² (as a fraction)? =
  14. 14.Write 4.9 × 10⁻³ as a decimal. =
  15. 15.Write 4.4 × 10⁻⁴ as a decimal. =
  16. 16.Write (4⁶)² as a single power 4ⁿ. What is n?
  17. 17.What is the value of 2² × 2⁻⁶? =
  18. 18.What is the value of (1/2)⁻²? =
  19. 19.Write 4¹⁵ ÷ 4⁶ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 2² × 2⁻²? =
  21. 21.What is the value of 2² × 2⁻¹? =
  22. 22.Write 9.7 × 10⁻¹ as a decimal. =
  23. 23.Write 1.4 × 10⁻² as a decimal. =
  24. 24.Write 1.1 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 3⁶? =
  26. 26.What is the value of 3⁵ × 3⁻³? =
  27. 27.What is the value of 6⁶? =
  28. 28.Write 7⁹ ÷ 7⁴ as a single power 7ⁿ. What is n?
  29. 29.Write 4⁸ × 4³ as a single power 4ⁿ. What is n?
  30. 30.6.3 × 10⁶ =
  31. 31.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
  32. 32.Write 6⁹ ÷ 6² as a single power 6ⁿ. What is n?
  33. 33.Write 830 in standard form as 8.3 × 10ⁿ. What is n?
  34. 34.Write 5.7 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 3² × 3⁻¹? =
  36. 36.What is the value of 10²? =
  37. 37.Write 7.3 × 10⁻² as a decimal. =
  38. 38.Write (3⁵)⁹ as a single power 3ⁿ. What is n?
  39. 39.Write (6⁹)³ as a single power 6ⁿ. What is n?
  40. 40.Write 4 × 10⁻² as a decimal. =

Answer key

  1. 4/3
  2. 4
  3. 49
  4. 1
  5. 0.00035
  6. 2000
  7. 59049
  8. 0.45
  9. 0.018
  10. 4
  11. 3
  12. 512
  13. 1/4
  14. 0.0049
  15. 0.00044
  16. 12
  17. 1/16
  18. 4
  19. 9
  20. 1
  21. 2
  22. 0.97
  23. 0.014
  24. 0.11
  25. 729
  26. 9
  27. 46656
  28. 5
  29. 11
  30. 6300000
  31. 6
  32. 7
  33. 2
  34. 0.57
  35. 3
  36. 100
  37. 0.073
  38. 45
  39. 27
  40. 0.04

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