$$(\frac{27}{8})^{\frac{-1}{3}}(\frac{81}{16})^{\frac{1}{4}}\div(\frac{4}{25})^{\frac{-1}{2}}]$$
$\frac{2}{5}=0.4$
$$\frac{\left(\frac{27}{8}\right)^{-\frac{1}{3}}\times \left(\frac{81}{16}\right)^{\frac{1}{4}}}{\left(\frac{4}{25}\right)^{\frac{-1}{2}}}$$
$$\frac{\frac{2}{3}\times \left(\frac{81}{16}\right)^{\frac{1}{4}}}{\left(\frac{4}{25}\right)^{\frac{-1}{2}}}$$
$$\frac{\frac{2}{3}\times \frac{3}{2}}{\left(\frac{4}{25}\right)^{\frac{-1}{2}}}$$
$$\frac{1}{\left(\frac{4}{25}\right)^{\frac{-1}{2}}}$$
$$\frac{1}{\left(\frac{4}{25}\right)^{-\frac{1}{2}}}$$
$$\frac{1}{\frac{5}{2}}$$
$$1\times \frac{2}{5}$$
$$\frac{2}{5}$$
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$\frac{2}{5} = 0.4$
