$$(\frac{81}{16})^{-\frac{3}{4}}\times[(\frac{25}{9})^{-\frac{3}{2}}+(\frac{5}{2})^{-3}]$$
$\frac{56}{675}\approx 0.082962963$
$$\frac{8}{27}\left(\left(\frac{25}{9}\right)^{-\frac{3}{2}}+\left(\frac{5}{2}\right)^{-3}\right)$$
$$\frac{8}{27}\left(\frac{27}{125}+\left(\frac{5}{2}\right)^{-3}\right)$$
$$\frac{8}{27}\left(\frac{27}{125}+\frac{8}{125}\right)$$
$$\frac{8}{27}\times \frac{7}{25}$$
$$\frac{56}{675}$$
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$\frac{2 ^ {3} \cdot 7}{3 ^ {3} \cdot 5 ^ {2}} = 0.08296296296296296$
