SOLUTION: What expression raised to the fourth power is 81x12y8z16?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What expression raised to the fourth power is 81x12y8z16?      Log On


   

Question 110701: What expression raised to the fourth power is 81x12y8z16?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to presume that you mean 81x%5E12y%5E8z%5E16
:
First note that 81+=+3%5E4
:
What you want is the 4th root of the expression given, or:
:
%2881x%5E12y%5E8z%5E16%29%5E%281%2F4%29
%283%5E4x%5E12y%5E8z%5E16%29%5E%281%2F4%29

3%5E%284%2F4%29x%5E%2812%2F4%29y%5E%288%2F4%29z%5E%2816%2F4%29
3x%5E3y%5E2z%5E4