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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 364 · 40 sums
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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 4.5 × 10⁻⁴ as a decimal. =
  2. 2.Write 7,200 in standard form as 7.2 × 10ⁿ. What is n?
  3. 3.What is the value of 2¹¹? =
  4. 4.Write 9,40,000 in standard form as 9.4 × 10ⁿ. What is n?
  5. 5.What is the value of 3² × 3⁻⁴? =
  6. 6.Write 9.9 × 10⁻¹ as a decimal. =
  7. 7.What is the value of (1/5)⁻¹? =
  8. 8.What is the value of 8⁴? =
  9. 9.What is the value of 5³ × 5⁻⁴? =
  10. 10.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?
  11. 11.Write 6.8 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 2⁹? =
  13. 13.What is the value of 6⁻¹ (as a fraction)? =
  14. 14.Write 5.6 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of (3/7)⁻¹? =
  16. 16.What is the value of 5⁶? =
  17. 17.Write 6,500 in standard form as 6.5 × 10ⁿ. What is n?
  18. 18.Write 3,20,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  19. 19.What is the value of 6⁻² (as a fraction)? =
  20. 20.What is the value of (2/7)⁻²? =
  21. 21.What is the value of 7⁴? =
  22. 22.What is the value of 5⁴ × 5⁻¹? =
  23. 23.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 6³? =
  25. 25.What is the value of 9⁵? =
  26. 26.Write 32,000 in standard form as 3.2 × 10ⁿ. What is n?
  27. 27.Write 6⁴ × 6⁶ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 5⁴ × 5⁻⁴? =
  29. 29.Write (4⁵)⁹ as a single power 4ⁿ. What is n?
  30. 30.9.8 × 10⁶ =
  31. 31.What is the value of 2³ × 2⁻¹? =
  32. 32.What is the value of 2¹²? =
  33. 33.Write 2.3 × 10⁻² as a decimal. =
  34. 34.What is the value of 10⁻³ (as a fraction)? =
  35. 35.What is the value of 5¹ × 5⁻⁶? =
  36. 36.Write 850 in standard form as 8.5 × 10ⁿ. What is n?
  37. 37.What is the value of 5² × 5⁻⁶? =
  38. 38.What is the value of 8⁵? =
  39. 39.What is the value of (5/8)⁻¹? =
  40. 40.What is the value of 6⁴? =

Answer key

  1. 0.00045
  2. 3
  3. 2048
  4. 5
  5. 1/9
  6. 0.99
  7. 5
  8. 4096
  9. 1/5
  10. 4
  11. 0.00068
  12. 512
  13. 1/6
  14. 0.00056
  15. 7/3
  16. 15625
  17. 3
  18. 7
  19. 1/36
  20. 49/4
  21. 2401
  22. 125
  23. 9
  24. 216
  25. 59049
  26. 4
  27. 10
  28. 1
  29. 45
  30. 9800000
  31. 4
  32. 4096
  33. 0.023
  34. 1/1000
  35. 1/3125
  36. 2
  37. 1/625
  38. 32768
  39. 8/5
  40. 1296

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