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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 156 · 40 sums
TalentJR

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 10³ × 10⁻¹? =
  2. 2.What is the value of 2³ × 2⁻⁶? =
  3. 3.Write 2³ × 2² as a single power 2ⁿ. What is n?
  4. 4.Write 2.2 × 10⁻² as a decimal. =
  5. 5.What is the value of 2¹⁴? =
  6. 6.What is the value of 6⁶? =
  7. 7.Write (7⁹)² as a single power 7ⁿ. What is n?
  8. 8.What is the value of 2⁸? =
  9. 9.6.5 × 10⁵ =
  10. 10.Write 9⁴ × 9⁹ as a single power 9ⁿ. What is n?
  11. 11.Write 2³ × 2⁵ as a single power 2ⁿ. What is n?
  12. 12.Write 7.3 × 10⁻⁴ as a decimal. =
  13. 13.9.6 × 10³ =
  14. 14.6.4 × 10³ =
  15. 15.Write 9¹⁰ ÷ 9⁵ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 5¹ × 5⁻³? =
  17. 17.1.5 × 10² =
  18. 18.Write 4.8 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 4⁸? =
  20. 20.What is the value of 3⁹? =
  21. 21.What is the value of 8⁻² (as a fraction)? =
  22. 22.Write 3.9 × 10⁻² as a decimal. =
  23. 23.7.2 × 10³ =
  24. 24.What is the value of 10² × 10⁻⁶? =
  25. 25.What is the value of 4³? =
  26. 26.4.5 × 10⁴ =
  27. 27.What is the value of (4/5)⁻²? =
  28. 28.Write 7⁸ ÷ 7² as a single power 7ⁿ. What is n?
  29. 29.What is the value of 2³ × 2⁻²? =
  30. 30.Write 5,300 in standard form as 5.3 × 10ⁿ. What is n?
  31. 31.What is the value of 10⁵? =
  32. 32.What is the value of 2⁻⁶ (as a fraction)? =
  33. 33.Write 3⁹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 10⁵ × 10⁻²? =
  35. 35.Write (7⁹)³ as a single power 7ⁿ. What is n?
  36. 36.Write 3 × 10⁻² as a decimal. =
  37. 37.Write 4.5 × 10⁻³ as a decimal. =
  38. 38.What is the value of 10⁻¹ (as a fraction)? =
  39. 39.1.9 × 10² =
  40. 40.Write 7.7 × 10⁻¹ as a decimal. =

Answer key

  1. 100
  2. 1/8
  3. 5
  4. 0.022
  5. 16384
  6. 46656
  7. 18
  8. 256
  9. 650000
  10. 13
  11. 8
  12. 0.00073
  13. 9600
  14. 6400
  15. 5
  16. 1/25
  17. 150
  18. 0.48
  19. 65536
  20. 19683
  21. 1/64
  22. 0.039
  23. 7200
  24. 1/10000
  25. 64
  26. 45000
  27. 25/16
  28. 6
  29. 2
  30. 3
  31. 100000
  32. 1/64
  33. 2
  34. 1000
  35. 27
  36. 0.03
  37. 0.0045
  38. 1/10
  39. 190
  40. 0.77

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