SOLUTION: (a1/4b1/3)^3 (a1/6b2/3)^3 I have tried distributing the exponents to the top of the fraction and then adding the like terms. It just does not look right when I finish.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: (a1/4b1/3)^3 (a1/6b2/3)^3 I have tried distributing the exponents to the top of the fraction and then adding the like terms. It just does not look right when I finish.      Log On


   

Question 58049: (a1/4b1/3)^3 (a1/6b2/3)^3
I have tried distributing the exponents to the top of the fraction and then adding the like terms. It just does not look right when I finish.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
It helps us undertstand you better if you were to put your fractional exponents in parenthesis the way you would have to if you were to type them into a graphing calcutor. Like this:
(a^(1/4)b^(1/3))^3 (a^(1/6)b^(2/3))^3
Rules were going to use:
1. highlight%28%28a%5Em%2Ab%5En%29%5Et=a%5E%28mt%29b%5E%28nt%29%29
2. highlight%28%28a%5Em%29%28a%5En%29=a%5E%28m%2Bn%29%29
:
%28a%5E%281%2F4%29b%5E%281%2F3%29%29%5E3+%2A%28a%5E%281%2F6%29b%5E%282%2F3%29%29%5E3
Rule 1
%28a%5E%283%2F4%29b%5E%283%2F3%29%29%2A%28a%5E%283%2F6%29b%5E%286%2F3%29%29
%28a%5E%283%2F4%29b%5E1%29%28a%5E%281%2F2%29b%5E2%29
a%5E%283%2F4%2B1%2F2%29b%5E%281%2B2%29 Rule 2
a%5E%283%2F4%2B2%2F4%29b%5E3
a%5E%285%2F4%29b%5E3
Happy Calculating!!!