Answer
$\frac{1}{216}$
Work Step by Step
$(\frac{3}{2}-\frac{4}{3})^{3}$
$=(\frac{9}{6}-\frac{8}{6})^{3}$
$=(\frac{1}{6})^{3}$
$=(\frac{1}{6}\times\frac{1}{6}\times\frac{1}{6})$
$=(\frac{1}{36}\times\frac{1}{6})$
$=\frac{1}{216}$
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