Answer
$x^2y^3$
Work Step by Step
RECALL:
(i) $\sqrt[n]{a} = a^{\frac{1}{n}}$
(ii) $\sqrt[n]{a^m} = a^{\frac{m}{n}}$
(iii) $(ab)^m = a^mb^m$
(iv) $(a^m)^n=a^{mn}$
Use the rules above to obtain:
$=(x^{10}y^{15})^{\frac{1}{5}}
\\=(x^{10})^{\frac{1}{5}}(y^{15})^{\frac{1}{5}}
\\=x^{\frac{10}{5}}y^{\frac{15}{5}}
\\=x^2y^3$
