Question 338767
{{{root(4,96x^8y^10)}}} Start with the given expression



{{{root(4,96)root(4,x^8)root(4,y^10)}}} Break up the root



{{{2*root(4,6)*root(4,x^8)root(4,y^10))}}} Simplify {{{root(4,96)}}} to get {{{2*root(4,6)}}}



{{{2*root(4,6)*x^2*root(4,y^10)}}} Simplify {{{root(4,x^8)}}} to get {{{x^2}}}



{{{2*root(4,6)*x^2*y^2*root(4,y^2)}}} Simplify {{{root(4,y^10)}}} to get {{{y^2*root(4,y^2)}}}



{{{2*x^2*y^2*root(4,6)*root(4,y^2)}}} Rearrange the terms



{{{2*x^2*y^2*root(4,6*y^2)}}} Combine the roots



So {{{root(4,96x^8y^10)=2*x^2*y^2*root(4,6*y^2)}}} 



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