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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 246 · 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 2¹⁶? =
  2. 2.What is the value of 8⁻¹ (as a fraction)? =
  3. 3.Write 8.9 × 10⁻³ as a decimal. =
  4. 4.Write 1,200 in standard form as 1.2 × 10ⁿ. What is n?
  5. 5.What is the value of 6³? =
  6. 6.What is the value of 10² × 10⁻⁵? =
  7. 7.What is the value of (2/3)⁻¹? =
  8. 8.What is the value of 3³? =
  9. 9.What is the value of 2³ × 2⁻³? =
  10. 10.What is the value of 3¹⁰? =
  11. 11.What is the value of 4⁻⁴ (as a fraction)? =
  12. 12.What is the value of 7³? =
  13. 13.Write (3²)² as a single power 3ⁿ. What is n?
  14. 14.What is the value of 5⁶? =
  15. 15.What is the value of 2⁴? =
  16. 16.What is the value of 2⁴ × 2⁻³? =
  17. 17.What is the value of 2¹ × 2⁻³? =
  18. 18.What is the value of 4⁶? =
  19. 19.Write 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  20. 20.What is the value of 5⁻⁴ (as a fraction)? =
  21. 21.What is the value of (2/5)⁻¹? =
  22. 22.What is the value of 8⁻³ (as a fraction)? =
  23. 23.7.9 × 10² =
  24. 24.Write 9.3 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 8⁻² (as a fraction)? =
  26. 26.Write (9²)² as a single power 9ⁿ. What is n?
  27. 27.What is the value of 5³? =
  28. 28.What is the value of (2/7)⁻¹? =
  29. 29.What is the value of (7/9)⁻²? =
  30. 30.Write 3,70,00,000 in standard form as 3.7 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁶? =
  32. 32.3.6 × 10³ =
  33. 33.What is the value of 3¹ × 3⁻⁶? =
  34. 34.Write (9⁶)³ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 3⁻³ (as a fraction)? =
  36. 36.9.1 × 10⁵ =
  37. 37.Write 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
  38. 38.What is the value of 2³? =
  39. 39.Write 5.5 × 10⁻³ as a decimal. =
  40. 40.Write 2.9 × 10⁻¹ as a decimal. =

Answer key

  1. 65536
  2. 1/8
  3. 0.0089
  4. 3
  5. 216
  6. 1/1000
  7. 3/2
  8. 27
  9. 1
  10. 59049
  11. 1/256
  12. 343
  13. 4
  14. 15625
  15. 16
  16. 2
  17. 1/4
  18. 4096
  19. 11
  20. 1/625
  21. 5/2
  22. 1/512
  23. 790
  24. 0.00093
  25. 1/64
  26. 4
  27. 125
  28. 7/2
  29. 81/49
  30. 7
  31. 64
  32. 3600
  33. 1/243
  34. 18
  35. 1/27
  36. 910000
  37. 16
  38. 8
  39. 0.0055
  40. 0.29

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