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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 218 · 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 10³? =
  2. 2.Write 4¹⁰ ÷ 4⁴ as a single power 4ⁿ. What is n?
  3. 3.Write 1.6 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 6⁴? =
  5. 5.6.4 × 10⁴ =
  6. 6.What is the value of 5⁵ × 5⁻⁴? =
  7. 7.What is the value of 2² × 2⁻⁴? =
  8. 8.What is the value of 2⁻⁵ (as a fraction)? =
  9. 9.What is the value of 3¹ × 3⁻⁴? =
  10. 10.Write (2⁵)⁴ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 3⁶ × 3⁻¹? =
  12. 12.Write 8⁴ × 8⁴ as a single power 8ⁿ. What is n?
  13. 13.Write (9⁵)³ as a single power 9ⁿ. What is n?
  14. 14.Write 7 × 10⁻¹ as a decimal. =
  15. 15.Write 7.1 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of 4⁻³ (as a fraction)? =
  17. 17.What is the value of 2² × 2⁻⁶? =
  18. 18.What is the value of 2⁵ × 2⁻⁴? =
  19. 19.What is the value of (2/5)⁻²? =
  20. 20.What is the value of 2³? =
  21. 21.What is the value of 3³ × 3⁻⁴? =
  22. 22.What is the value of 5² × 5⁻⁴? =
  23. 23.Write 7.4 × 10⁻² as a decimal. =
  24. 24.What is the value of 10⁶ × 10⁻⁵? =
  25. 25.What is the value of 2⁻⁴ (as a fraction)? =
  26. 26.What is the value of 5⁵ × 5⁻³? =
  27. 27.Write 6.6 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 4²? =
  29. 29.What is the value of 5⁵ × 5⁻⁵? =
  30. 30.What is the value of 3⁵ × 3⁻⁵? =
  31. 31.8.8 × 10⁴ =
  32. 32.Write 8,60,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  33. 33.What is the value of 5⁴ × 5⁻⁴? =
  34. 34.What is the value of 3² × 3⁻²? =
  35. 35.What is the value of 5⁻⁴ (as a fraction)? =
  36. 36.Write 5.7 × 10⁻¹ as a decimal. =
  37. 37.Write 9,400 in standard form as 9.4 × 10ⁿ. What is n?
  38. 38.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  39. 39.What is the value of (4/9)⁻²? =
  40. 40.What is the value of 2¹⁰? =

Answer key

  1. 1000
  2. 6
  3. 0.00016
  4. 1296
  5. 64000
  6. 5
  7. 1/4
  8. 1/32
  9. 1/27
  10. 20
  11. 243
  12. 8
  13. 15
  14. 0.7
  15. 0.00071
  16. 1/64
  17. 1/16
  18. 2
  19. 25/4
  20. 8
  21. 1/3
  22. 1/25
  23. 0.074
  24. 10
  25. 1/16
  26. 25
  27. 0.00066
  28. 16
  29. 1
  30. 1
  31. 88000
  32. 7
  33. 1
  34. 1
  35. 1/625
  36. 0.57
  37. 3
  38. 3
  39. 81/16
  40. 1024

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