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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 83 · 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 4²? =
  2. 2.Write 7.8 × 10⁻¹ as a decimal. =
  3. 3.Write 480 in standard form as 4.8 × 10ⁿ. What is n?
  4. 4.What is the value of (3/8)⁻¹? =
  5. 5.What is the value of 2² × 2⁻¹? =
  6. 6.Write 42,000 in standard form as 4.2 × 10ⁿ. What is n?
  7. 7.What is the value of 10⁻¹ (as a fraction)? =
  8. 8.Write 5 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of (6/7)⁻²? =
  10. 10.What is the value of 5² × 5⁻³? =
  11. 11.Write 5.4 × 10⁻³ as a decimal. =
  12. 12.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  13. 13.What is the value of 5⁴ × 5⁻⁵? =
  14. 14.What is the value of 3⁵ × 3⁻⁶? =
  15. 15.What is the value of 5⁵? =
  16. 16.What is the value of 2³ × 2⁻²? =
  17. 17.What is the value of 3⁹? =
  18. 18.6.2 × 10⁶ =
  19. 19.What is the value of 5⁵ × 5⁻¹? =
  20. 20.What is the value of 3⁴? =
  21. 21.Write 3¹¹ ÷ 3⁸ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 5⁻³ (as a fraction)? =
  23. 23.Write 4⁷ × 4³ as a single power 4ⁿ. What is n?
  24. 24.What is the value of 2¹ × 2⁻⁴? =
  25. 25.What is the value of 3¹ × 3⁻³? =
  26. 26.What is the value of 10⁵ × 10⁻¹? =
  27. 27.What is the value of 9²? =
  28. 28.What is the value of 8³? =
  29. 29.What is the value of (2/9)⁻²? =
  30. 30.Write 5³ × 5⁸ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 2¹²? =
  32. 32.What is the value of 5⁵ × 5⁻⁴? =
  33. 33.What is the value of 2³? =
  34. 34.8.6 × 10⁴ =
  35. 35.What is the value of 2¹⁰? =
  36. 36.What is the value of 5³ × 5⁻¹? =
  37. 37.Write 1.5 × 10⁻³ as a decimal. =
  38. 38.What is the value of 3⁻³ (as a fraction)? =
  39. 39.Write (4⁵)³ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 10⁶ × 10⁻³? =

Answer key

  1. 16
  2. 0.78
  3. 2
  4. 8/3
  5. 2
  6. 4
  7. 1/10
  8. 0.0005
  9. 49/36
  10. 1/5
  11. 0.0054
  12. 6
  13. 1/5
  14. 1/3
  15. 3125
  16. 2
  17. 19683
  18. 6200000
  19. 625
  20. 81
  21. 3
  22. 1/125
  23. 10
  24. 1/8
  25. 1/9
  26. 10000
  27. 81
  28. 512
  29. 81/4
  30. 11
  31. 4096
  32. 5
  33. 8
  34. 86000
  35. 1024
  36. 25
  37. 0.0015
  38. 1/27
  39. 15
  40. 1000

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