Answer
$5x^3y^2$
Work Step by Step
RECALL:
(1) $(a^m)^n=a^{mn}$
(2) $(ab)^m = a^mb^m$
(3) $a^{\frac{1}{n}}= \sqrt[n]{a}$
Use rule (2) above to obtain:
$=125^{\frac{1}{3}}(x^9)^{\frac{1}{3}}(y^6)^{\frac{1}{3}}$
Use rules (1) and (3) above to obtain:
$=\sqrt[3]{125} x^{9(\frac{1}{3})}y^{6(\frac{1}{3})}
\\=\sqrt[3]{5^3}x^3y^2
\\=5x^3y^2$
