SOLUTION: how do i simplify (y^2/3/x^3/4)^2/3?

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: how do i simplify (y^2/3/x^3/4)^2/3?      Log On


   



Question 822241: how do i simplify (y^2/3/x^3/4)^2/3?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%5E2%2F3%2Fx%5E3%2F4%29%5E%282%2F3%29
The outer exponent %282%2F3%29 should
be applied to the numerator, then the denominator.
So,
+%28%28y%5E2%29%5E%282%2F3%29%29+%2F+%28%28x%5E%283%2F4%29%29%5E%282%2F3%29%29+
=
+%28%28y%29%5E%284%2F3%29%29+%2F+%28%28x%5E%286%2F12%29%29%29+
=
+%28y%5E%284%2F3%29%29+%2F+%28x%5E%281%2F2%29%29+ = +%28y%5E%284%2F3%29%29+%2A+%28x%5E%28-1%2F2%29%29+