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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 121 · 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. 1.1.5 × 10³ =
  2. 2.What is the value of 2⁻⁴ (as a fraction)? =
  3. 3.Write 9 × 10⁻⁴ as a decimal. =
  4. 4.5.9 × 10⁴ =
  5. 5.9.6 × 10⁷ =
  6. 6.Write 5.2 × 10⁻³ as a decimal. =
  7. 7.What is the value of (5/9)⁻¹? =
  8. 8.Write (2²)⁴ as a single power 2ⁿ. What is n?
  9. 9.Write 4,50,000 in standard form as 4.5 × 10ⁿ. What is n?
  10. 10.Write (9⁶)³ as a single power 9ⁿ. What is n?
  11. 11.What is the value of 3⁶? =
  12. 12.Write 8.9 × 10⁻⁴ as a decimal. =
  13. 13.Write 6¹¹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  14. 14.6.6 × 10⁴ =
  15. 15.2.9 × 10² =
  16. 16.5.8 × 10² =
  17. 17.What is the value of 5⁻¹ (as a fraction)? =
  18. 18.Write 5⁸ ÷ 5⁴ as a single power 5ⁿ. What is n?
  19. 19.What is the value of 4⁸? =
  20. 20.Write 5⁸ ÷ 5⁵ as a single power 5ⁿ. What is n?
  21. 21.What is the value of (1/5)⁻¹? =
  22. 22.What is the value of 10² × 10⁻⁴? =
  23. 23.Write (5⁶)⁷ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 5⁵? =
  25. 25.Write 8.4 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2¹⁶? =
  27. 27.What is the value of (8/9)⁻¹? =
  28. 28.Write 2⁹ ÷ 2² as a single power 2ⁿ. What is n?
  29. 29.What is the value of 5⁴ × 5⁻⁴? =
  30. 30.Write 9 × 10⁻² as a decimal. =
  31. 31.What is the value of 4⁵? =
  32. 32.Write (9²)⁶ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 2⁴ × 2⁻²? =
  34. 34.Write 8⁹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 3⁹? =
  36. 36.8.9 × 10³ =
  37. 37.What is the value of 3³ × 3⁻⁴? =
  38. 38.What is the value of 5⁷? =
  39. 39.Write 8,40,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  40. 40.Write 7.1 × 10⁻² as a decimal. =

Answer key

  1. 1500
  2. 1/16
  3. 0.0009
  4. 59000
  5. 96000000
  6. 0.0052
  7. 9/5
  8. 8
  9. 5
  10. 18
  11. 729
  12. 0.00089
  13. 7
  14. 66000
  15. 290
  16. 580
  17. 1/5
  18. 4
  19. 65536
  20. 3
  21. 5
  22. 1/100
  23. 42
  24. 3125
  25. 0.84
  26. 65536
  27. 9/8
  28. 7
  29. 1
  30. 0.09
  31. 1024
  32. 12
  33. 4
  34. 5
  35. 19683
  36. 8900
  37. 1/3
  38. 78125
  39. 7
  40. 0.071

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