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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 30 · 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 4⁻³ (as a fraction)? =
  2. 2.1.1 × 10² =
  3. 3.What is the value of 9²? =
  4. 4.What is the value of 3¹⁰? =
  5. 5.4.3 × 10³ =
  6. 6.What is the value of 2⁻² (as a fraction)? =
  7. 7.What is the value of (7/8)⁻¹? =
  8. 8.What is the value of 10⁴ × 10⁻⁵? =
  9. 9.What is the value of (1/7)⁻¹? =
  10. 10.Write 4.9 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 3⁻¹ (as a fraction)? =
  12. 12.Write (9⁹)⁶ as a single power 9ⁿ. What is n?
  13. 13.What is the value of (2/3)⁻²? =
  14. 14.What is the value of 2¹⁵? =
  15. 15.Write 9.3 × 10⁻² as a decimal. =
  16. 16.Write 3 × 10⁻³ as a decimal. =
  17. 17.What is the value of 8³? =
  18. 18.Write 9³ × 9² as a single power 9ⁿ. What is n?
  19. 19.Write 9.7 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 7³? =
  21. 21.Write 9⁸ ÷ 9⁴ as a single power 9ⁿ. What is n?
  22. 22.Write 8⁵ × 8⁴ as a single power 8ⁿ. What is n?
  23. 23.What is the value of (5/7)⁻¹? =
  24. 24.Write 2.5 × 10⁻³ as a decimal. =
  25. 25.Write 4.3 × 10⁻³ as a decimal. =
  26. 26.Write 3 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 3⁻⁵ (as a fraction)? =
  28. 28.What is the value of 3⁵ × 3⁻⁶? =
  29. 29.Write 460 in standard form as 4.6 × 10ⁿ. What is n?
  30. 30.Write 7.9 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 8⁻² (as a fraction)? =
  32. 32.What is the value of 2⁻⁶ (as a fraction)? =
  33. 33.Write 3.1 × 10⁻¹ as a decimal. =
  34. 34.What is the value of (5/8)⁻¹? =
  35. 35.What is the value of 10⁴ × 10⁻¹? =
  36. 36.What is the value of 5⁵? =
  37. 37.1.7 × 10³ =
  38. 38.What is the value of 7²? =
  39. 39.Write 1,20,000 in standard form as 1.2 × 10ⁿ. What is n?
  40. 40.What is the value of 5² × 5⁻³? =

Answer key

  1. 1/64
  2. 110
  3. 81
  4. 59049
  5. 4300
  6. 1/4
  7. 8/7
  8. 1/10
  9. 7
  10. 0.49
  11. 1/3
  12. 54
  13. 9/4
  14. 32768
  15. 0.093
  16. 0.003
  17. 512
  18. 5
  19. 0.97
  20. 343
  21. 4
  22. 9
  23. 7/5
  24. 0.0025
  25. 0.0043
  26. 0.0003
  27. 1/243
  28. 1/3
  29. 2
  30. 0.79
  31. 1/64
  32. 1/64
  33. 0.31
  34. 8/5
  35. 1000
  36. 3125
  37. 1700
  38. 49
  39. 5
  40. 1/5

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