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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 964 · 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.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  2. 2.What is the value of (1/6)⁻²? =
  3. 3.What is the value of 2⁴? =
  4. 4.Write (9³)⁵ as a single power 9ⁿ. What is n?
  5. 5.Write 1.9 × 10⁻² as a decimal. =
  6. 6.Write 9² × 9⁶ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 5⁴? =
  8. 8.What is the value of 2⁵ × 2⁻³? =
  9. 9.What is the value of 10⁴ × 10⁻⁶? =
  10. 10.What is the value of 5⁶ × 5⁻⁴? =
  11. 11.Write 7.2 × 10⁻² as a decimal. =
  12. 12.Write 4.7 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 4⁶? =
  14. 14.Write 6⁹ × 6⁸ as a single power 6ⁿ. What is n?
  15. 15.1.9 × 10² =
  16. 16.What is the value of (7/8)⁻²? =
  17. 17.What is the value of 2⁻⁷ (as a fraction)? =
  18. 18.What is the value of (2/9)⁻¹? =
  19. 19.What is the value of 2³? =
  20. 20.What is the value of 2² × 2⁻¹? =
  21. 21.Write 6.8 × 10⁻³ as a decimal. =
  22. 22.What is the value of 5⁷? =
  23. 23.What is the value of 3² × 3⁻⁵? =
  24. 24.What is the value of 10⁶ × 10⁻⁴? =
  25. 25.What is the value of 5⁻³ (as a fraction)? =
  26. 26.7.6 × 10² =
  27. 27.Write (8²)⁸ as a single power 8ⁿ. What is n?
  28. 28.Write 5 × 10⁻² as a decimal. =
  29. 29.Write 1.8 × 10⁻³ as a decimal. =
  30. 30.What is the value of 2⁵ × 2⁻¹? =
  31. 31.7.9 × 10² =
  32. 32.What is the value of 5⁴ × 5⁻¹? =
  33. 33.What is the value of (8/9)⁻¹? =
  34. 34.What is the value of 3⁶? =
  35. 35.Write 5.8 × 10⁻² as a decimal. =
  36. 36.What is the value of 5⁵ × 5⁻¹? =
  37. 37.Write 6⁴ × 6⁴ as a single power 6ⁿ. What is n?
  38. 38.What is the value of 3⁴ × 3⁻¹? =
  39. 39.What is the value of 10³? =
  40. 40.What is the value of 2⁴ × 2⁻³? =

Answer key

  1. 2
  2. 36
  3. 16
  4. 15
  5. 0.019
  6. 8
  7. 625
  8. 4
  9. 1/100
  10. 25
  11. 0.072
  12. 0.47
  13. 4096
  14. 17
  15. 190
  16. 64/49
  17. 1/128
  18. 9/2
  19. 8
  20. 2
  21. 0.0068
  22. 78125
  23. 1/27
  24. 100
  25. 1/125
  26. 760
  27. 16
  28. 0.05
  29. 0.0018
  30. 16
  31. 790
  32. 125
  33. 9/8
  34. 729
  35. 0.058
  36. 625
  37. 8
  38. 27
  39. 1000
  40. 2

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