[latex] sqrt{y^3} * sqrt{y^3}= sqrt{y^3*y^3}= sqrt{y^6}=y^{ frac{6}{2} } =y^3 [/latex]

[latex] sqrt{y^{2} *y} * sqrt{ y^{2}*y } [/latex] [latex]y* sqrt{y} *y* sqrt{y} [/latex] [latex]y*y*y[/latex] [latex] y^{3} [/latex]