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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 128 · 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 9⁻¹ (as a fraction)? =
  2. 2.What is the value of 9³? =
  3. 3.Write (4⁵)² as a single power 4ⁿ. What is n?
  4. 4.4.6 × 10⁴ =
  5. 5.What is the value of 9⁵? =
  6. 6.2.3 × 10² =
  7. 7.What is the value of 10³ × 10⁻²? =
  8. 8.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 3⁻² (as a fraction)? =
  10. 10.Write 6 × 10⁻² as a decimal. =
  11. 11.What is the value of 2⁻¹ (as a fraction)? =
  12. 12.Write 2⁹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 2⁻² (as a fraction)? =
  14. 14.Write 6⁷ × 6⁷ as a single power 6ⁿ. What is n?
  15. 15.What is the value of 2⁻⁶ (as a fraction)? =
  16. 16.What is the value of 2³ × 2⁻³? =
  17. 17.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 10⁻² (as a fraction)? =
  19. 19.2.2 × 10² =
  20. 20.Write (8⁷)² as a single power 8ⁿ. What is n?
  21. 21.Write 6.5 × 10⁻² as a decimal. =
  22. 22.What is the value of (5/9)⁻¹? =
  23. 23.8.8 × 10⁷ =
  24. 24.What is the value of 4³? =
  25. 25.What is the value of 3³? =
  26. 26.Write 3.2 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 2⁻³ (as a fraction)? =
  28. 28.What is the value of 4⁻³ (as a fraction)? =
  29. 29.What is the value of 5⁻¹ (as a fraction)? =
  30. 30.Write 5⁴ × 5³ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 3¹⁰? =
  32. 32.Write 4.6 × 10⁻¹ as a decimal. =
  33. 33.Write (5⁹)⁵ as a single power 5ⁿ. What is n?
  34. 34.What is the value of 4⁸? =
  35. 35.What is the value of 2¹²? =
  36. 36.What is the value of 4⁵? =
  37. 37.Write 4.2 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 5⁵ × 5⁻²? =
  39. 39.Write 5 × 10⁻⁴ as a decimal. =
  40. 40.Write (2³)⁸ as a single power 2ⁿ. What is n?

Answer key

  1. 1/9
  2. 729
  3. 10
  4. 46000
  5. 59049
  6. 230
  7. 10
  8. 7
  9. 1/9
  10. 0.06
  11. 1/2
  12. 4
  13. 1/4
  14. 14
  15. 1/64
  16. 1
  17. 13
  18. 1/100
  19. 220
  20. 14
  21. 0.065
  22. 9/5
  23. 88000000
  24. 64
  25. 27
  26. 0.32
  27. 1/8
  28. 1/64
  29. 1/5
  30. 7
  31. 59049
  32. 0.46
  33. 45
  34. 65536
  35. 4096
  36. 1024
  37. 0.42
  38. 125
  39. 0.0005
  40. 24

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