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Simplify ​ ​[{(625)^1/2}^-1/4]^2

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Simplify 

\([\{{(625)^\frac{1}{2}}\}^{-\frac{1}{4}}]^2\)

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\([\{{(625)^\frac{1}{2}}\}^{-\frac{1}{4}}]^2\)

 \(=625^\frac{1}{2}.^{-\frac{1}{4}.2}\)

 \(=625^{-\frac{1}{4}}\) = \(\frac{1}{{5}{^4}}^\frac{1}{4}\)

= \(\frac{1}{5}\)

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