$$[(\frac{4}{3})^{-3}]^{-4}$$
$\frac{16777216}{531441}\approx 31.569291793$
$$\left(\left(\frac{4}{3}\right)^{-3}\right)^{-4}$$
$$\left(\frac{4}{3}\right)^{-3\left(-4\right)}$$
$$\left(\frac{4}{3}\right)^{12}$$
$$\frac{16777216}{531441}$$
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$\frac{2 ^ {24}}{3 ^ {12}} = 31\frac{302545}{531441} = 31.569291793444616$