← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 221 · 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 2¹⁵? =
  2. 2.Write 8¹⁵ ÷ 8⁶ as a single power 8ⁿ. What is n?
  3. 3.Write 4⁶ × 4⁴ as a single power 4ⁿ. What is n?
  4. 4.Write 2⁹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  5. 5.What is the value of 2³ × 2⁻³? =
  6. 6.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  7. 7.Write 9,300 in standard form as 9.3 × 10ⁿ. What is n?
  8. 8.Write 9.7 × 10⁻¹ as a decimal. =
  9. 9.Write 7⁸ × 7² as a single power 7ⁿ. What is n?
  10. 10.What is the value of 5³ × 5⁻³? =
  11. 11.What is the value of 2¹ × 2⁻⁵? =
  12. 12.What is the value of (1/9)⁻²? =
  13. 13.Write 4.5 × 10⁻³ as a decimal. =
  14. 14.Write 2.1 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 4⁻² (as a fraction)? =
  16. 16.What is the value of 4⁴? =
  17. 17.What is the value of 5² × 5⁻²? =
  18. 18.What is the value of 2⁶ × 2⁻⁶? =
  19. 19.Write 8¹³ ÷ 8⁵ as a single power 8ⁿ. What is n?
  20. 20.What is the value of 2¹ × 2⁻²? =
  21. 21.Write 4¹⁰ ÷ 4⁶ as a single power 4ⁿ. What is n?
  22. 22.What is the value of 3¹ × 3⁻⁶? =
  23. 23.What is the value of 3²? =
  24. 24.What is the value of 3⁶ × 3⁻⁵? =
  25. 25.Write (6⁶)⁵ as a single power 6ⁿ. What is n?
  26. 26.Write 2.9 × 10⁻³ as a decimal. =
  27. 27.What is the value of 2³ × 2⁻⁴? =
  28. 28.What is the value of 3³ × 3⁻⁴? =
  29. 29.What is the value of 10³ × 10⁻¹? =
  30. 30.What is the value of 2¹²? =
  31. 31.What is the value of 2⁶ × 2⁻⁴? =
  32. 32.What is the value of 3⁵ × 3⁻¹? =
  33. 33.What is the value of 5⁴? =
  34. 34.Write 870 in standard form as 8.7 × 10ⁿ. What is n?
  35. 35.Write (7⁹)⁷ as a single power 7ⁿ. What is n?
  36. 36.What is the value of 4⁵? =
  37. 37.9.1 × 10³ =
  38. 38.What is the value of 3⁴ × 3⁻²? =
  39. 39.What is the value of 6⁴? =
  40. 40.Write 8⁷ ÷ 8³ as a single power 8ⁿ. What is n?

Answer key

  1. 32768
  2. 9
  3. 10
  4. 4
  5. 1
  6. 4
  7. 3
  8. 0.97
  9. 10
  10. 1
  11. 1/16
  12. 81
  13. 0.0045
  14. 0.00021
  15. 1/16
  16. 256
  17. 1
  18. 1
  19. 8
  20. 1/2
  21. 4
  22. 1/243
  23. 9
  24. 3
  25. 30
  26. 0.0029
  27. 1/2
  28. 1/3
  29. 100
  30. 4096
  31. 4
  32. 81
  33. 625
  34. 2
  35. 63
  36. 1024
  37. 9100
  38. 9
  39. 1296
  40. 4

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets