Question 338768
{{{root(5,288x^17y^15)}}} Start with the given expression



{{{root(5,288)root(5,x^17)root(5,y^15)}}} Break up the root



{{{2*root(5,9)*root(5,x^17)root(5,y^15))}}} Simplify {{{root(5,288)}}} to get {{{2*root(5,9)}}}



{{{2*root(5,9)*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(5,9)*x^3*root(5,x^2)*y^3}}} Simplify {{{root(5,y^15)}}} to get {{{y^3}}}



{{{2*x^3*y^3*root(5,9)*root(5,x^2)}}} Rearrange the terms



{{{2*x^3*y^3*root(5,9*x^2)}}} Combine the roots



So {{{root(5,288x^17y^15)=2*x^3*y^3*root(5,9*x^2)}}}



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