SOLUTION: What expression raised to the fourth power is 81x^12y^8z^16?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What expression raised to the fourth power is 81x^12y^8z^16?      Log On


   



Question 91958: What expression raised to the fourth power is 81x^12y^8z^16?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
81x^12y^8z^16?
:
81%2Ax%5E12%2Ay%5E8%2Az%5E16; note that 3^4 = 81
:
Find the 4th root of each term
:
81%5E%281%2F4%29%2Ax%5E%281%2F4%2A12%29%2Ay%5E%281%2F4%2A8%29%2Az%5E%281%2F4%2A16%29
:
3%2Ax%5E3%2Ay%5E2%2Az%5E4
:
:
Check:
%283%2Ax%5E3%2Ay%5E2%2Az%5E4%29%5E4 = 81%2Ax%5E12%2Ay%5E8%2Az%5E16
:
did this help?