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El resultado es \( \frac{125}{2} \).
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To solve \( \left[\frac{2}{5}\right]^{-1} \cdot 25 \), we first need to find the reciprocal of \( \frac{2}{5} \). The reciprocal is obtained by flipping the fraction, so \( \left[\frac{2}{5}\right]^{-1} = \frac{5}{2} \). Now, we can multiply this by 25: \[ \frac{5}{2} \cdot 25 = \frac{5 \cdot 25}{2} = \frac{125}{2} = 62.5 \] Thus, \( \left[\frac{2}{5}\right]^{-1} \cdot 25 = 62.5 \).