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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 938 · 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 3¹ × 3⁻²? =
  2. 2.7.1 × 10⁵ =
  3. 3.What is the value of 2⁶? =
  4. 4.What is the value of 5⁶ × 5⁻⁴? =
  5. 5.Write (9⁴)⁸ as a single power 9ⁿ. What is n?
  6. 6.Write (4²)³ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 3⁵ × 3⁻⁴? =
  8. 8.What is the value of 8³? =
  9. 9.6.9 × 10² =
  10. 10.5.6 × 10² =
  11. 11.3.3 × 10³ =
  12. 12.What is the value of 3⁴? =
  13. 13.What is the value of 4⁵? =
  14. 14.What is the value of 3⁴ × 3⁻⁵? =
  15. 15.What is the value of 4⁶? =
  16. 16.What is the value of 2⁻¹ (as a fraction)? =
  17. 17.Write 3.1 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 2¹⁴? =
  19. 19.What is the value of 7³? =
  20. 20.What is the value of 2² × 2⁻⁶? =
  21. 21.Write 690 in standard form as 6.9 × 10ⁿ. What is n?
  22. 22.Write 7.7 × 10⁻⁴ as a decimal. =
  23. 23.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  24. 24.9.2 × 10⁶ =
  25. 25.What is the value of 10³ × 10⁻³? =
  26. 26.Write 710 in standard form as 7.1 × 10ⁿ. What is n?
  27. 27.Write 5.6 × 10⁻³ as a decimal. =
  28. 28.What is the value of 3¹ × 3⁻³? =
  29. 29.What is the value of 5⁵ × 5⁻²? =
  30. 30.Write 8.4 × 10⁻³ as a decimal. =
  31. 31.What is the value of 8⁴? =
  32. 32.What is the value of 5⁷? =
  33. 33.Write (9⁵)⁸ as a single power 9ⁿ. What is n?
  34. 34.What is the value of 2⁶ × 2⁻³? =
  35. 35.Write 5,10,00,000 in standard form as 5.1 × 10ⁿ. What is n?
  36. 36.Write (8³)⁸ as a single power 8ⁿ. What is n?
  37. 37.9.7 × 10³ =
  38. 38.Write 8.7 × 10⁻³ as a decimal. =
  39. 39.What is the value of 3⁻³ (as a fraction)? =
  40. 40.Write 6.8 × 10⁻¹ as a decimal. =

Answer key

  1. 1/3
  2. 710000
  3. 64
  4. 25
  5. 32
  6. 6
  7. 3
  8. 512
  9. 690
  10. 560
  11. 3300
  12. 81
  13. 1024
  14. 1/3
  15. 4096
  16. 1/2
  17. 0.00031
  18. 16384
  19. 343
  20. 1/16
  21. 2
  22. 0.00077
  23. 2
  24. 9200000
  25. 1
  26. 2
  27. 0.0056
  28. 1/9
  29. 125
  30. 0.0084
  31. 4096
  32. 78125
  33. 40
  34. 8
  35. 7
  36. 24
  37. 9700
  38. 0.0087
  39. 1/27
  40. 0.68

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