[tex]( \frac{2}{5} ) ^{2 - log_{2.5}(2) } = ( \frac{5}{2} ) ^{log_{ \frac{5}{2} }(2) - 2} = \\ = \frac{( \frac{5}{2} ) ^{log_{ \frac{5}{2} }(2) }}{ {( \frac{5}{2} )}^{2} } = \frac{2}{ \frac{25}{4} } = \frac{8}{25} = 0.32[/tex]
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[tex]( \frac{2}{5} ) ^{2 - log_{2.5}(2) } = ( \frac{5}{2} ) ^{log_{ \frac{5}{2} }(2) - 2} = \\ = \frac{( \frac{5}{2} ) ^{log_{ \frac{5}{2} }(2) }}{ {( \frac{5}{2} )}^{2} } = \frac{2}{ \frac{25}{4} } = \frac{8}{25} = 0.32[/tex]