展开 (867(e^{29/20}-1))/(50000e^{29/20)}

解答

展开

\frac{867 ( e ^{\frac{29}{20}} - 1 )}{50000 e ^{\frac{29}{20}}}

\frac{867}{50000} - \frac{867}{50000 e ^{\frac{29}{20}}}

十进制

0.01327 \dots

求解步骤

\frac{867 ( e ^{\frac{29}{20}} - 1 )}{50000 e ^{\frac{29}{20}}}

乘开

867 (e^{\frac{29}{20}} - 1) : 867 e^{\frac{29}{20}} - 867

= \frac{867 e ^{\frac{29}{20}} - 867}{50000 e ^{\frac{29}{20}}}

使用分式法则:

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

\frac{867 e ^{\frac{29}{20}} - 867}{50000 e ^{\frac{29}{20}}} = \frac{867 e ^{\frac{29}{20}}}{50000 e ^{\frac{29}{20}}} - \frac{867}{50000 e ^{\frac{29}{20}}}

= \frac{867 e ^{\frac{29}{20}}}{50000 e ^{\frac{29}{20}}} - \frac{867}{50000 e ^{\frac{29}{20}}}

消掉

\frac{867 e ^{\frac{29}{20}}}{50000 e ^{\frac{29}{20}}} : \frac{867}{50000}

= \frac{867}{50000} - \frac{867}{50000 e ^{\frac{29}{20}}}

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