Question 126516
{{{root(5,(32x^16)/(y^25))}}} Start with the given expression



{{{root(5,32x^16)/root(5,y^25))}}} Break up the root



{{{(2*x^3*root(5,x))/root(5,y^25))}}} Simplify {{{root(5,32x^16)}}} to get {{{2*x^3*root(5,x)}}}




{{{(2x^3*root(5,x))/(y^5)}}} Simplify {{{root(5,y^25)}}} to get {{{y^5}}}






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Answer:



So {{{root(5,(32x^16)/(y^25))}}} simplifies to {{{(2x^3*root(5,x))/(y^5)}}}



In other words, {{{root(5,(32x^16)/(y^25))=(2x^3*root(5,x))/(y^5)}}}