Answer
$\sqrt[9]{36x^5y^7}$
Work Step by Step
RECALL:
(i) For nonegative numbers a and b,
$\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$
(ii) $a^m \cdot a^n = a^{m+n}$
Use the rules above to obtain:
$=\sqrt[9]{(12x^2y^3)(3x^3y^4)}
\\=\sqrt[9]{36x^{2+3}y^{3+4}}
\\=\sqrt[9]{36x^5y^7}$
