SOLUTION: I also need help with simplifying this problem: (a^1/3 b^1/6)^2 (a^1/3 b^2/3). I am not quite sure what to do with this. I usually dont have a problem simplifying but this is

Algebra ->  Linear-equations -> SOLUTION: I also need help with simplifying this problem: (a^1/3 b^1/6)^2 (a^1/3 b^2/3). I am not quite sure what to do with this. I usually dont have a problem simplifying but this is      Log On


   

Question 7193: I also need help with simplifying this problem:
(a^1/3 b^1/6)^2 (a^1/3 b^2/3).
I am not quite sure what to do with this. I usually dont have a problem simplifying but this is just confusing to me. Will some one help me understand it?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28a%5E%281%2F3%29b%5E%281%2F6%29%29%5E2%28a%5E%281%2F3%29b%5E%282%2F3%29%29
Multiply every exponent inside the first set of parentheses by the exponent (2) outside the parentheses.
%28a%5E%282%2F3%29b%5E%282%2F6%29%29%28a%5E%281%2F3%29b%5E%282%2F3%29%29
Now, add the exponents on ths a's and add the exponents on the b's.
a%5E%283%2F3%29b%5E%286%2F6%29 Simplify the exponents. Recall: a^1 = a and b^1 = b
ab
The answer is: ab