Answer
.045
Work Step by Step
$105^{-\frac{2}{3}}=\frac{1}{105^{\frac{2}{3}}}=\frac{1}{\sqrt[3] (105^{2})}=.045$
In this case, we are finding the reciprocal of $\sqrt[3] (105^{2})=22.257$.
$\frac{1}{22.257}=.045$
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