Answer
$2x^{3}y^{2}\sqrt[3] {3y}$
Work Step by Step
$\sqrt[3] {24x^{9}y^{7}}=\sqrt[3] {8*3x^{9}y^{6}y}=\sqrt[3] {8}\sqrt[3] {3}\sqrt[3] {x^{9}}\sqrt[3] {y^{6}}\sqrt[3] {y}=2x^{3}y^{2}\sqrt[3] {3y}$
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