Question 91257
{{{root(5,x^4y^6/z^5)}}}


{{{root(5,x^4y^6)/root(5,z^5)}}} Break up the root using the identity {{{root(n,x/y)=root(n,x)/root(n,y)}}}


{{{root(5,x^4y^6)/z}}} Take the fifth root of {{{z^5}}} to get z


{{{root(5,x^4y*y^5)/z}}} Factor {{{x^4y^6}}} into {{{x^4y*y^5}}}


{{{root(5,x^4y)*root(5,y^5)/z}}} Break up the root using the identity {{{root(n,x*y)=root(n,x)*root(n,y)}}}


{{{root(5,x^4y)*y/z}}} Take the fifth root of {{{y^5}}} to get y



{{{y*root(5,x^4y)/z}}} Rearrange the terms