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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 391 · 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 2³? =
  2. 2.What is the value of 2⁻⁹ (as a fraction)? =
  3. 3.3 × 10⁵ =
  4. 4.Write 6⁷ ÷ 6² as a single power 6ⁿ. What is n?
  5. 5.Write 3.1 × 10⁻⁴ as a decimal. =
  6. 6.Write 43,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  7. 7.Write 5.9 × 10⁻² as a decimal. =
  8. 8.6.6 × 10⁷ =
  9. 9.Write 8³ × 8² as a single power 8ⁿ. What is n?
  10. 10.5.8 × 10³ =
  11. 11.What is the value of 3⁴ × 3⁻²? =
  12. 12.What is the value of 4⁻² (as a fraction)? =
  13. 13.What is the value of 2⁶? =
  14. 14.What is the value of 3⁻⁵ (as a fraction)? =
  15. 15.What is the value of 10⁶ × 10⁻²? =
  16. 16.What is the value of 5²? =
  17. 17.What is the value of (1/5)⁻¹? =
  18. 18.What is the value of 9⁴? =
  19. 19.Write 5⁵ × 5⁴ as a single power 5ⁿ. What is n?
  20. 20.What is the value of (5/6)⁻¹? =
  21. 21.What is the value of 5⁶ × 5⁻⁶? =
  22. 22.What is the value of 5² × 5⁻³? =
  23. 23.What is the value of (3/8)⁻¹? =
  24. 24.Write (7²)³ as a single power 7ⁿ. What is n?
  25. 25.Write (2⁵)⁸ as a single power 2ⁿ. What is n?
  26. 26.6.7 × 10⁵ =
  27. 27.What is the value of 5¹ × 5⁻³? =
  28. 28.What is the value of 2¹ × 2⁻¹? =
  29. 29.What is the value of 7²? =
  30. 30.9.7 × 10⁶ =
  31. 31.Write 5.5 × 10⁻¹ as a decimal. =
  32. 32.Write 4¹⁴ ÷ 4⁷ as a single power 4ⁿ. What is n?
  33. 33.Write 200 in standard form as 2 × 10ⁿ. What is n?
  34. 34.What is the value of 5⁵ × 5⁻⁴? =
  35. 35.What is the value of 5⁴ × 5⁻⁶? =
  36. 36.What is the value of 2⁸? =
  37. 37.What is the value of (1/9)⁻¹? =
  38. 38.What is the value of 5⁴ × 5⁻²? =
  39. 39.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  40. 40.2.6 × 10³ =

Answer key

  1. 8
  2. 1/512
  3. 300000
  4. 5
  5. 0.00031
  6. 6
  7. 0.059
  8. 66000000
  9. 5
  10. 5800
  11. 9
  12. 1/16
  13. 64
  14. 1/243
  15. 10000
  16. 25
  17. 5
  18. 6561
  19. 9
  20. 6/5
  21. 1
  22. 1/5
  23. 8/3
  24. 6
  25. 40
  26. 670000
  27. 1/25
  28. 1
  29. 49
  30. 9700000
  31. 0.55
  32. 7
  33. 2
  34. 5
  35. 1/25
  36. 256
  37. 9
  38. 25
  39. 14
  40. 2600

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