Question 126395
{{{root(4,64x^8y^10)}}} Start with the given expression



{{{root(4,64)*root(4,x^8)*root(4,y^10)}}} Break up the root




{{{2*root(4,4)*root(4,x^8)*root(4,y^10)}}} Simplify {{{root(4,64)}}} to get {{{2*root(4,4)}}}



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



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




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






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Answer:



So {{{root(4,64x^8y^10)}}} simplifies to {{{2x^2y^2*root(4,4y^2)}}}




In other words, {{{root(4,64x^8y^10)=2x^2y^2*root(4,4y^2)}}}