SOLUTION: I am trying to work through the following problem. I have the answer.. but I am trying to figure out how to work to that answer properly. (X^aY^b * X^bY^a)^c

Algebra ->  Exponents -> SOLUTION: I am trying to work through the following problem. I have the answer.. but I am trying to figure out how to work to that answer properly. (X^aY^b * X^bY^a)^c      Log On


   



Question 473483: I am trying to work through the following problem. I have the answer.. but I am trying to figure out how to work to that answer properly.
(X^aY^b * X^bY^a)^c

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
This problem (X^aY^b * X^bY^a)^c can be rewritten as:
[x^(a+b)*y^(a+b)]^c
From here we can write it as:
x^(a+b)c*y^(a+b)c or as:
x^(ac+bc)*y^(ac+bc)
Make sense?
RJ
www.math-unlock.com