Equivalent Expressions

SAT Math· difficulty 5/5

\sqrt[3]{x^6 \cdot y^9}

A
$x^6 y^3$
B
$x^2 y^3$
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C
$x^3 y^3$
D
$x^2 y$

Explanation

\sqrt[3]{x^6 y^9} = (x^6 y^9)^{1/3} = x^{6/3} y^{9/3} = x^2 y^3

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