Question 126396
{{{root(5,320x^17y^15)}}} Start with the given expression



{{{root(5,320)*root(5,x^17)*root(5,y^15)}}} Break up the root




{{{2*root(5,10)*root(5,x^17)*root(5,y^15)}}} Simplify {{{root(5,320)}}} to get {{{2*root(5,10)}}}



{{{2*root(5,10)*x^3*root(5,x^2)*root(5,y^15)}}} Simplify {{{root(5,x^17)}}} to get {{{x^3*root(5,x^2)}}}



{{{2*root(5,10)*x^3*root(5,x^2)*y^3}}} Simplify {{{root(5,y^15)}}} to get {{{y^3}}}



{{{2x^3y^3*root(5,10x^2)}}} Combine the roots and multiply



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So {{{root(5,320x^17y^15)}}} simplifies to {{{2x^3y^3*root(5,10x^2)}}} 




In other words, {{{root(5,320x^17y^15)=2x^3y^3*root(5,10x^2)}}}