Answer
$x^3y^4$
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:
$=(x^{15}y^{20})^{\frac{1}{5}}
\\=(x^{15})^{\frac{1}{5}}(y^{20})^{\frac{1}{5}}
\\=x^{\frac{15}{5}}y^{\frac{20}{5}}
\\=x^3y^4$
