Question 144600
{{{root(3,y^10)*root(3,16y^11)}}} Start with the given expression



{{{y^3*root(3,y)*root(3,16y^11)}}} Simplify {{{root(3,y^10)}}} to get {{{y^3*root(3,y)}}}



{{{y^3*root(3,y)*2y^3*root(3,2y^2)}}} Simplify {{{root(3,16y^11)}}} to get {{{2y^3*root(3,2y^2)}}}



{{{2y^6*root(3,2y^3)}}} Multiply and combine the roots



{{{2y^6*y*root(3,2)}}} Simplify {{{root(3,2y^3)}}} to get {{{y*root(3,2)}}}



{{{2y^7*root(3,2)}}} Multiply



So {{{root(3,y^10)*root(3,16y^11)}}} simplifies to {{{2y^7*root(3,2)}}}