簡約 24e^{-(ln(2))/(25)(40)}

解

簡約

24 e^{- \frac{l n ( 2 )}{25} (40)}

\frac{24}{e ^{\frac{8 l n ( 2 )}{5}}}

十進法表記

7.91704 \dots

解答ステップ

24 e^{- \frac{l n ( 2 )}{25} (40)}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= 24 \cdot \frac{1}{e ^{40 \cdot \frac{l n ( 2 )}{25}}}

\frac{1}{e ^{\frac{l n ( 2 )}{25} \cdot 40}} = \frac{1}{e ^{\frac{8 l n ( 2 )}{5}}}

= 24 \cdot \frac{1}{e ^{\frac{8 l n ( 2 )}{5}}}

分数を乗じる:

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

= \frac{1 \cdot 24}{e ^{\frac{8 l n ( 2 )}{5}}}

数を乗じる:

1 \cdot 24 = 24

= \frac{24}{e ^{\frac{8 l n ( 2 )}{5}}}