$$(\frac{4}{5})^{10}\times[(\frac{4}{5})^{2}]^{3}\div[(\frac{4}{5})^{4}]^{4}$$
$1$
$$\frac{\left(\frac{4}{5}\right)^{10}\times \left(\frac{4}{5}\right)^{6}}{\left(\left(\frac{4}{5}\right)^{4}\right)^{4}}$$
$$\frac{\left(\frac{4}{5}\right)^{16}}{\left(\left(\frac{4}{5}\right)^{4}\right)^{4}}$$
$$\frac{\left(\frac{4}{5}\right)^{16}}{\left(\frac{4}{5}\right)^{16}}$$
$$1$$
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