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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 681 · 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 20,00,000 in standard form as 2 × 10ⁿ. What is n?
  2. 2.What is the value of 6⁻² (as a fraction)? =
  3. 3.What is the value of 10³ × 10⁻⁶? =
  4. 4.What is the value of 2¹⁵? =
  5. 5.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
  6. 6.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  7. 7.Write 3.9 × 10⁻² as a decimal. =
  8. 8.What is the value of 10⁵? =
  9. 9.What is the value of 8⁴? =
  10. 10.Write 5² × 5³ as a single power 5ⁿ. What is n?
  11. 11.What is the value of 3⁸? =
  12. 12.What is the value of 10² × 10⁻³? =
  13. 13.Write (2⁹)² as a single power 2ⁿ. What is n?
  14. 14.What is the value of 2¹⁴? =
  15. 15.What is the value of 2⁻⁸ (as a fraction)? =
  16. 16.Write 4.4 × 10⁻² as a decimal. =
  17. 17.Write 4,50,000 in standard form as 4.5 × 10ⁿ. What is n?
  18. 18.What is the value of 3⁷? =
  19. 19.What is the value of 9⁵? =
  20. 20.Write 6³ × 6³ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 2⁻⁹ (as a fraction)? =
  22. 22.What is the value of (7/9)⁻¹? =
  23. 23.What is the value of (1/4)⁻²? =
  24. 24.Write 5.6 × 10⁻² as a decimal. =
  25. 25.What is the value of 9³? =
  26. 26.Write 5¹² ÷ 5⁴ as a single power 5ⁿ. What is n?
  27. 27.Write 6,20,000 in standard form as 6.2 × 10ⁿ. What is n?
  28. 28.Write 3,30,000 in standard form as 3.3 × 10ⁿ. What is n?
  29. 29.What is the value of (4/7)⁻²? =
  30. 30.Write 9⁷ × 9⁹ as a single power 9ⁿ. What is n?
  31. 31.3.5 × 10⁴ =
  32. 32.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 3⁵? =
  34. 34.Write 9⁶ × 9⁷ as a single power 9ⁿ. What is n?
  35. 35.What is the value of (2/5)⁻²? =
  36. 36.What is the value of 7⁴? =
  37. 37.What is the value of 4⁶? =
  38. 38.What is the value of 2⁴ × 2⁻²? =
  39. 39.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 4⁵? =

Answer key

  1. 6
  2. 1/36
  3. 1/1000
  4. 32768
  5. 8
  6. 2
  7. 0.039
  8. 100000
  9. 4096
  10. 5
  11. 6561
  12. 1/10
  13. 18
  14. 16384
  15. 1/256
  16. 0.044
  17. 5
  18. 2187
  19. 59049
  20. 6
  21. 1/512
  22. 9/7
  23. 16
  24. 0.056
  25. 729
  26. 8
  27. 5
  28. 5
  29. 49/16
  30. 16
  31. 35000
  32. 16
  33. 243
  34. 13
  35. 25/4
  36. 2401
  37. 4096
  38. 4
  39. 2
  40. 1024

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