Solution:
Given the radical;
[tex]\sqrt{x^{13}}[/tex]This can be simplified as;
[tex]\begin{gathered} \sqrt{x^{13}}=\sqrt{x^{12}}\times\sqrt{x} \\ \\ \sqrt{x^{13}}=(x^{12})^{\frac{1}{2}}\times\sqrt{x} \\ \\ \sqrt{x^{13}}=x^6\sqrt{x} \end{gathered}[/tex]ANSWER:
[tex]\begin{equation*} x^6\sqrt{x} \end{equation*}[/tex]