Answer
$\sqrt[3] (y^{2}z)$
Work Step by Step
$\sqrt[9] (y^{6}z^{3})=(y^{6}z^{3})^{\frac{1}{9}}=y^{\frac{6}{9}}z^\frac{3}{9}=y^{\frac{2}{3}}z^\frac{1}{3}=(y^{2}z)^{\frac{1}{3}}=\sqrt[3] (y^{2}z)$
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