SOLUTION: How can I simplify this ?(27x^(1/3)y^(-1/2))^(1/3) (27x with an exponent of 1 over 3, y with a negative 1 over 2) exponent 1 over 3 Express using Positive rational exponent

Algebra ->  Square-cubic-other-roots -> SOLUTION: How can I simplify this ?(27x^(1/3)y^(-1/2))^(1/3) (27x with an exponent of 1 over 3, y with a negative 1 over 2) exponent 1 over 3 Express using Positive rational exponent      Log On


   

Question 1040259: How can I simplify this ?(27x^(1/3)y^(-1/2))^(1/3)
(27x with an exponent of 1 over 3, y with a negative 1 over 2)
exponent 1 over 3
Express using Positive rational exponents.
Thank you
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
%2827x%5E%281%2F3%29y%5E%28-1%2F2%29%29%5E%281%2F3%29=
Use: %28a%2Ab%29%5En=a%5En%2Ab%5En
==
Since 27=3%5E3, and %28a%5En%29%5Ek=a%5E%28n%2Ak%29, then
==
Use: a%5E%28-k%29=1%2Fa%5Ek, and a%5E1=a
=3x%5E%281%2F9%29%2Fy%5E%281%2F6%29
https://scontent-vie1-1.xx.fbcdn.net/t31.0-8/13576704_10205340808398656_5284299922541530875_o.jpg