SOLUTION: what would be the smallest form of the x^16y^8/81 all in the fourth root?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what would be the smallest form of the x^16y^8/81 all in the fourth root?      Log On


   

Question 271486: what would be the smallest form of the x^16y^8/81 all in the fourth root?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
what would be the smallest form of the x^16y^8/81 all in the fourth root?
:
4sqrt%28x%5E16y%5E8%2F81%29
:
Factor to reveal the 4th powers
4sqrt%28x%5E4%2Ax%5E4%2Ax%5E4%2Ax%5E4%2Ay%5E4%2Ay%5E4%2F3%5E4%29
Extract those end up with
%28x%2Ax%2Ax%2Ax%2Ay%2Ay%29%2F3 = %28x%5E4%2Ay%5E2%29%2F3