$$\{(\frac{-2}{3})^{-2}\}^{2}$$
$\frac{81}{16}=5.0625$
$$\left(\left(-\frac{2}{3}\right)^{-2}\right)^{2}$$
$$\left(-\frac{2}{3}\right)^{-2\times 2}$$
$$\left(-\frac{2}{3}\right)^{-4}$$
$$\frac{81}{16}$$
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$\frac{3 ^ {4}}{2 ^ {4}} = 5\frac{1}{16} = 5.0625$