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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 980 · 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 2.5 × 10⁻³ as a decimal. =
  2. 2.What is the value of 7⁴? =
  3. 3.Write (2⁷)⁴ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 3³ × 3⁻²? =
  5. 5.What is the value of 10⁴? =
  6. 6.What is the value of 5² × 5⁻¹? =
  7. 7.Write 6.2 × 10⁻¹ as a decimal. =
  8. 8.Write 6¹⁶ ÷ 6⁷ as a single power 6ⁿ. What is n?
  9. 9.What is the value of 4²? =
  10. 10.What is the value of 2⁻⁷ (as a fraction)? =
  11. 11.What is the value of 10⁶ × 10⁻³? =
  12. 12.What is the value of 4⁷? =
  13. 13.What is the value of 5⁴? =
  14. 14.What is the value of 4⁵? =
  15. 15.3.6 × 10² =
  16. 16.Write 6.1 × 10⁻³ as a decimal. =
  17. 17.What is the value of 5⁵? =
  18. 18.What is the value of 10⁻³ (as a fraction)? =
  19. 19.What is the value of 6⁴? =
  20. 20.What is the value of 9⁻² (as a fraction)? =
  21. 21.Write 8,100 in standard form as 8.1 × 10ⁿ. What is n?
  22. 22.Write 8.4 × 10⁻¹ as a decimal. =
  23. 23.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  24. 24.What is the value of 2¹ × 2⁻⁵? =
  25. 25.Write 2.1 × 10⁻¹ as a decimal. =
  26. 26.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  27. 27.What is the value of 3⁻² (as a fraction)? =
  28. 28.What is the value of 3² × 3⁻²? =
  29. 29.What is the value of 2²? =
  30. 30.What is the value of 3²? =
  31. 31.What is the value of 5⁴ × 5⁻²? =
  32. 32.What is the value of (3/5)⁻²? =
  33. 33.2 × 10⁶ =
  34. 34.What is the value of 3⁻⁴ (as a fraction)? =
  35. 35.Write 5.5 × 10⁻¹ as a decimal. =
  36. 36.3.5 × 10⁶ =
  37. 37.Write (3²)⁵ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 2¹³? =
  39. 39.What is the value of 2¹⁶? =
  40. 40.What is the value of (1/7)⁻¹? =

Answer key

  1. 0.0025
  2. 2401
  3. 28
  4. 3
  5. 10000
  6. 5
  7. 0.62
  8. 9
  9. 16
  10. 1/128
  11. 1000
  12. 16384
  13. 625
  14. 1024
  15. 360
  16. 0.0061
  17. 3125
  18. 1/1000
  19. 1296
  20. 1/81
  21. 3
  22. 0.84
  23. 6
  24. 1/16
  25. 0.21
  26. 3
  27. 1/9
  28. 1
  29. 4
  30. 9
  31. 25
  32. 25/9
  33. 2000000
  34. 1/81
  35. 0.55
  36. 3500000
  37. 10
  38. 8192
  39. 65536
  40. 7

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