$$(\frac{3^{-1}}{2})^{-1}$$
$6$
$$\left(\frac{\frac{1}{3}}{2}\right)^{-1}$$
$$\left(\frac{1}{3\times 2}\right)^{-1}$$
$$\left(\frac{1}{6}\right)^{-1}$$
$$6$$
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$2\times 3$