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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 201 · 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 5.6 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 4³? =
  3. 3.What is the value of 2² × 2⁻³? =
  4. 4.Write 4¹⁴ ÷ 4⁹ as a single power 4ⁿ. What is n?
  5. 5.What is the value of 4⁶? =
  6. 6.What is the value of 10³? =
  7. 7.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 2⁶ × 2⁻⁵? =
  9. 9.What is the value of (2/9)⁻²? =
  10. 10.Write 9 × 10⁻³ as a decimal. =
  11. 11.What is the value of 5⁵? =
  12. 12.What is the value of 2⁵ × 2⁻²? =
  13. 13.What is the value of 3⁵ × 3⁻⁴? =
  14. 14.What is the value of 9⁻² (as a fraction)? =
  15. 15.What is the value of 5³ × 5⁻⁶? =
  16. 16.Write (4²)⁶ as a single power 4ⁿ. What is n?
  17. 17.What is the value of 5¹ × 5⁻¹? =
  18. 18.Write 8⁶ × 8² as a single power 8ⁿ. What is n?
  19. 19.What is the value of 7⁻² (as a fraction)? =
  20. 20.What is the value of 2² × 2⁻⁶? =
  21. 21.What is the value of (1/8)⁻²? =
  22. 22.What is the value of 10³ × 10⁻⁶? =
  23. 23.What is the value of 10⁻² (as a fraction)? =
  24. 24.8.6 × 10⁵ =
  25. 25.Write 9.5 × 10⁻⁴ as a decimal. =
  26. 26.Write 4⁶ × 4⁵ as a single power 4ⁿ. What is n?
  27. 27.What is the value of (3/7)⁻¹? =
  28. 28.Write 92,00,000 in standard form as 9.2 × 10ⁿ. What is n?
  29. 29.What is the value of 8⁵? =
  30. 30.Write (7⁵)⁸ as a single power 7ⁿ. What is n?
  31. 31.Write 2.6 × 10⁻² as a decimal. =
  32. 32.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  33. 33.What is the value of (1/9)⁻¹? =
  34. 34.Write 82,000 in standard form as 8.2 × 10ⁿ. What is n?
  35. 35.9.3 × 10⁴ =
  36. 36.What is the value of 3²? =
  37. 37.Write 8¹⁰ ÷ 8⁵ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 3⁶ × 3⁻³? =
  39. 39.Write 2¹⁴ ÷ 2⁸ as a single power 2ⁿ. What is n?
  40. 40.Write (5⁶)⁹ as a single power 5ⁿ. What is n?

Answer key

  1. 0.00056
  2. 64
  3. 1/2
  4. 5
  5. 4096
  6. 1000
  7. 10
  8. 2
  9. 81/4
  10. 0.009
  11. 3125
  12. 8
  13. 3
  14. 1/81
  15. 1/125
  16. 12
  17. 1
  18. 8
  19. 1/49
  20. 1/16
  21. 64
  22. 1/1000
  23. 1/100
  24. 860000
  25. 0.00095
  26. 11
  27. 7/3
  28. 6
  29. 32768
  30. 40
  31. 0.026
  32. 13
  33. 9
  34. 4
  35. 93000
  36. 9
  37. 5
  38. 27
  39. 6
  40. 54

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