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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 599 · 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 2²? =
  2. 2.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  3. 3.2.3 × 10³ =
  4. 4.Write 3,600 in standard form as 3.6 × 10ⁿ. What is n?
  5. 5.8.7 × 10⁶ =
  6. 6.What is the value of 3⁹? =
  7. 7.Write (9⁴)³ as a single power 9ⁿ. What is n?
  8. 8.Write 5⁷ × 5⁴ as a single power 5ⁿ. What is n?
  9. 9.Write 5⁸ ÷ 5⁶ as a single power 5ⁿ. What is n?
  10. 10.9.1 × 10⁷ =
  11. 11.Write 6 × 10⁻² as a decimal. =
  12. 12.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
  13. 13.What is the value of 2⁻⁵ (as a fraction)? =
  14. 14.7.9 × 10² =
  15. 15.What is the value of 10³? =
  16. 16.Write 9.6 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 4⁴? =
  18. 18.What is the value of 2⁴ × 2⁻⁶? =
  19. 19.What is the value of 8⁻¹ (as a fraction)? =
  20. 20.Write 7⁷ × 7⁸ as a single power 7ⁿ. What is n?
  21. 21.Write 9.2 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 10² × 10⁻²? =
  23. 23.What is the value of 10³ × 10⁻⁵? =
  24. 24.Write 2.4 × 10⁻³ as a decimal. =
  25. 25.What is the value of 9³? =
  26. 26.What is the value of 5⁶ × 5⁻¹? =
  27. 27.Write (9⁵)⁵ as a single power 9ⁿ. What is n?
  28. 28.1.8 × 10² =
  29. 29.Write 2¹⁷ ÷ 2⁹ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 5⁻³ (as a fraction)? =
  31. 31.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  32. 32.What is the value of 2³? =
  33. 33.Write 8,80,000 in standard form as 8.8 × 10ⁿ. What is n?
  34. 34.What is the value of 3⁻⁶ (as a fraction)? =
  35. 35.3.9 × 10⁴ =
  36. 36.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  37. 37.6.7 × 10⁴ =
  38. 38.What is the value of 4⁵? =
  39. 39.What is the value of 3⁻⁵ (as a fraction)? =
  40. 40.What is the value of 2⁻² (as a fraction)? =

Answer key

  1. 4
  2. 3
  3. 2300
  4. 3
  5. 8700000
  6. 19683
  7. 12
  8. 11
  9. 2
  10. 91000000
  11. 0.06
  12. 2
  13. 1/32
  14. 790
  15. 1000
  16. 0.00096
  17. 256
  18. 1/4
  19. 1/8
  20. 15
  21. 0.92
  22. 1
  23. 1/100
  24. 0.0024
  25. 729
  26. 3125
  27. 25
  28. 180
  29. 8
  30. 1/125
  31. 24
  32. 8
  33. 5
  34. 1/729
  35. 39000
  36. 6
  37. 67000
  38. 1024
  39. 1/243
  40. 1/4

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