$$(\frac{4}{7})^{4}\div(\frac{16}{27})^{2}$$
$\frac{729}{2401}\approx 0.30362349$
$$\frac{\frac{256}{2401}}{\left(\frac{16}{27}\right)^{2}}$$
$$\frac{\frac{256}{2401}}{\frac{256}{729}}$$
$$\frac{256}{2401}\times \frac{729}{256}$$
$$\frac{256\times 729}{2401\times 256}$$
$$\frac{729}{2401}$$
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$\frac{3 ^ {6}}{7 ^ {4}} = 0.3036234902124115$