erweitern (25(e^{4/5}-1))/(2e^{2/5)}

Lösung

erweitern

\frac{25 ( e ^{\frac{4}{5}} - 1 )}{2 e ^{\frac{2}{5}}}

\frac{25 e ^{\frac{2}{5}}}{2} - \frac{25}{2 e ^{\frac{2}{5}}}

Dezimale

10.26880 \dots

Schritte zur Lösung

\frac{25 ( e ^{\frac{4}{5}} - 1 )}{2 e ^{\frac{2}{5}}}

Multipliziere aus

25 (e^{\frac{4}{5}} - 1) : 25 e^{\frac{4}{5}} - 25

= \frac{25 e ^{\frac{4}{5}} - 25}{2 e ^{\frac{2}{5}}}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{25 e ^{\frac{4}{5}} - 25}{2 e ^{\frac{2}{5}}} = \frac{25 e ^{\frac{4}{5}}}{2 e ^{\frac{2}{5}}} - \frac{25}{2 e ^{\frac{2}{5}}}

= \frac{25 e ^{\frac{4}{5}}}{2 e ^{\frac{2}{5}}} - \frac{25}{2 e ^{\frac{2}{5}}}

Streiche

\frac{25 e ^{\frac{4}{5}}}{2 e ^{\frac{2}{5}}} : \frac{25 e ^{\frac{2}{5}}}{2}

= \frac{25 e ^{\frac{2}{5}}}{2} - \frac{25}{2 e ^{\frac{2}{5}}}

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