SOLUTION: please help. simplify using rational exponents. the cube root of 27x the x is raised to 1/2 y is raised to the 3rd power, multiplied by the square root of 4xy y is raised to the

Algebra ->  Square-cubic-other-roots -> SOLUTION: please help. simplify using rational exponents. the cube root of 27x the x is raised to 1/2 y is raised to the 3rd power, multiplied by the square root of 4xy y is raised to the      Log On


   



Question 473665: please help.
simplify using rational exponents.
the cube root of 27x the x is raised to 1/2 y is raised to the 3rd power, multiplied by the square root of 4xy y is raised to the 1/2 power. i hope i explianed it correctly

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify using rational exponents.
Assume the problem is
3sqrt%2827x%5E%281%2F2%29%2Ay%5E3%29 * sqrt%284xy%5E%281%2F2%29%29
we can write it:
%2827x%5E%281%2F2%29%2Ay%5E3%29%5E%281%2F3%29 * %284xy%5E%281%2F2%29%29%5E%281%2F2%29
:
%283%2Ax%5E%281%2F6%29%2Ay%29 * %282x%5E%281%2F2%29%2Ay%5E%281%2F4%29%29 = %286%2Ax%5E%28%281%2F6%29%2B%281%2F2%29%29%2Ay%5E%281%2B%281%2F4%29%29%29 =
:
6%2Ax%5E%284%2F6%29%2Ay%5E%285%2F4%29; those exponents are 4/6 and 5/4