SOLUTION: I think this is the right topic, but i am not sure. If you could please help me, that would be great. i really appreciate this. My math worksheet says to simplify- No variable repr

Algebra ->  Exponents -> SOLUTION: I think this is the right topic, but i am not sure. If you could please help me, that would be great. i really appreciate this. My math worksheet says to simplify- No variable repr      Log On


   

Question 93979: I think this is the right topic, but i am not sure. If you could please help me, that would be great. i really appreciate this. My math worksheet says to simplify- No variable represents a value that would make the expression meaningless.
1. (32x^1/2)^2/5

Thank you so much. God bless.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. (32x^1/2)^2/5
:
%2832%2Ax%5E%281%2F2%29%29%5E%282%2F5%29
:
Following the rules of exponents:
32%5E%282%2F5%29%2Ax%5E%28%281%2F2%29%2A%282%2F5%29%29 = 32%5E%282%2F5%29%2Ax%5E%282%2F10%29 = 32%5E%282%2F5%29%2Ax%5E%281%2F5%29
:
We know the 5th root of 32 = 2, and 2^2 = 4 so we have:
4%2Ax%5E%281%2F5%29