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$$(25x^{2})^{\frac{1}{5}}.(5x^{4})^{\frac{2}{5}}.\left(125x^{\frac{27}{5}}\right)^{-\frac{1}{3}}$$=
$$\left(\frac{x}{5}\right)^{\frac{1}{5}}$$
$$\left(\frac{x}{5}\right)^{\frac{-1}{5}}$$
$$(5x)^{\frac{1}{5}}$$
$$(5x)^{\frac{-1}{5}}$$
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