Answer
$x^{3}y^{5}$
Work Step by Step
Using the definition of rational exponents which is given by $a^{\frac{m}{n}}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{x^6y^{10}}
\\\\=
\left( x^6y^{10} \right)^{1/2}
.\end{array}
Using the extended Power Rule of the laws of exponents which is given by $\left( x^my^n \right)^p=x^{mp}y^{np},$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
\left( x^6y^{10} \right)^{1/2}
\\\\=
x^{6\cdot\frac{1}{2}}y^{10\cdot\frac{1}{2}}
\\\\=
x^{3}y^{5}
.\end{array}