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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 853 · 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 950 in standard form as 9.5 × 10ⁿ. What is n?
  2. 2.What is the value of 3³ × 3⁻⁶? =
  3. 3.What is the value of 2¹²? =
  4. 4.5.3 × 10⁷ =
  5. 5.9.8 × 10³ =
  6. 6.What is the value of 2⁵ × 2⁻⁵? =
  7. 7.Write 8⁸ × 8³ as a single power 8ⁿ. What is n?
  8. 8.Write 63,000 in standard form as 6.3 × 10ⁿ. What is n?
  9. 9.Write 9.6 × 10⁻² as a decimal. =
  10. 10.Write 6.9 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 6⁻¹ (as a fraction)? =
  12. 12.What is the value of 3⁻¹ (as a fraction)? =
  13. 13.What is the value of 6⁵? =
  14. 14.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?
  15. 15.What is the value of 3⁶ × 3⁻³? =
  16. 16.What is the value of 2⁷? =
  17. 17.What is the value of 2⁴ × 2⁻¹? =
  18. 18.What is the value of 4⁻⁴ (as a fraction)? =
  19. 19.What is the value of 3² × 3⁻⁶? =
  20. 20.What is the value of 5² × 5⁻⁵? =
  21. 21.5 × 10⁵ =
  22. 22.Write 6.7 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 4⁶? =
  24. 24.What is the value of (1/9)⁻²? =
  25. 25.What is the value of 10⁴? =
  26. 26.Write (2²)² as a single power 2ⁿ. What is n?
  27. 27.What is the value of 10³? =
  28. 28.Write 9.2 × 10⁻² as a decimal. =
  29. 29.Write 9,90,000 in standard form as 9.9 × 10ⁿ. What is n?
  30. 30.What is the value of 7³? =
  31. 31.Write 4¹⁸ ÷ 4⁹ as a single power 4ⁿ. What is n?
  32. 32.8.5 × 10³ =
  33. 33.6 × 10⁵ =
  34. 34.Write 6⁸ × 6⁹ as a single power 6ⁿ. What is n?
  35. 35.What is the value of 5²? =
  36. 36.What is the value of 2⁻² (as a fraction)? =
  37. 37.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  38. 38.What is the value of 5⁻³ (as a fraction)? =
  39. 39.Write 7 × 10⁻³ as a decimal. =
  40. 40.What is the value of 3¹ × 3⁻⁵? =

Answer key

  1. 2
  2. 1/27
  3. 4096
  4. 53000000
  5. 9800
  6. 1
  7. 11
  8. 4
  9. 0.096
  10. 0.69
  11. 1/6
  12. 1/3
  13. 7776
  14. 11
  15. 27
  16. 128
  17. 8
  18. 1/256
  19. 1/81
  20. 1/125
  21. 500000
  22. 0.00067
  23. 4096
  24. 81
  25. 10000
  26. 4
  27. 1000
  28. 0.092
  29. 5
  30. 343
  31. 9
  32. 8500
  33. 600000
  34. 17
  35. 25
  36. 1/4
  37. 10
  38. 1/125
  39. 0.007
  40. 1/81

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