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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 462 · 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 (8/9)⁻²? =
  2. 2.What is the value of 3¹ × 3⁻⁴? =
  3. 3.What is the value of 2¹⁰? =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.Write 9³ × 9⁶ as a single power 9ⁿ. What is n?
  6. 6.Write 3.1 × 10⁻² as a decimal. =
  7. 7.Write 8.2 × 10⁻² as a decimal. =
  8. 8.5.2 × 10⁶ =
  9. 9.Write 8.3 × 10⁻⁴ as a decimal. =
  10. 10.Write 7,10,000 in standard form as 7.1 × 10ⁿ. What is n?
  11. 11.What is the value of 3⁻⁶ (as a fraction)? =
  12. 12.Write 4,20,000 in standard form as 4.2 × 10ⁿ. What is n?
  13. 13.Write 2.9 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 3⁻³ (as a fraction)? =
  15. 15.Write 8² × 8⁷ as a single power 8ⁿ. What is n?
  16. 16.6.9 × 10² =
  17. 17.Write 6.8 × 10⁻¹ as a decimal. =
  18. 18.7 × 10⁵ =
  19. 19.What is the value of 3³? =
  20. 20.What is the value of 10²? =
  21. 21.2.4 × 10⁴ =
  22. 22.What is the value of 2⁻⁶ (as a fraction)? =
  23. 23.9.9 × 10³ =
  24. 24.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  25. 25.What is the value of 10⁻¹ (as a fraction)? =
  26. 26.What is the value of 6²? =
  27. 27.What is the value of 10² × 10⁻⁶? =
  28. 28.1.6 × 10² =
  29. 29.What is the value of 5⁴ × 5⁻⁶? =
  30. 30.What is the value of 6⁻² (as a fraction)? =
  31. 31.What is the value of 2⁵ × 2⁻⁶? =
  32. 32.What is the value of 3² × 3⁻⁴? =
  33. 33.What is the value of 3⁻¹ (as a fraction)? =
  34. 34.Write 410 in standard form as 4.1 × 10ⁿ. What is n?
  35. 35.What is the value of 3²? =
  36. 36.Write 8⁶ × 8³ as a single power 8ⁿ. What is n?
  37. 37.What is the value of 2³ × 2⁻⁴? =
  38. 38.What is the value of 3⁶? =
  39. 39.What is the value of 4²? =
  40. 40.7.2 × 10⁴ =

Answer key

  1. 81/64
  2. 1/27
  3. 1024
  4. 1/32
  5. 9
  6. 0.031
  7. 0.082
  8. 5200000
  9. 0.00083
  10. 5
  11. 1/729
  12. 5
  13. 0.29
  14. 1/27
  15. 9
  16. 690
  17. 0.68
  18. 700000
  19. 27
  20. 100
  21. 24000
  22. 1/64
  23. 9900
  24. 2
  25. 1/10
  26. 36
  27. 1/10000
  28. 160
  29. 1/25
  30. 1/36
  31. 1/2
  32. 1/9
  33. 1/3
  34. 2
  35. 9
  36. 9
  37. 1/2
  38. 729
  39. 16
  40. 72000

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