簡約 75e^{-35/10 ((ln(14))/(15))}

解

簡約

75 e^{- \frac{35}{10} (\frac{l n ( 14 )}{15})}

\frac{75}{e ^{\frac{7 l n ( 14 )}{30}}}

十進法表記

40.51645 \dots

解答ステップ

75 e^{- \frac{35}{10} (\frac{l n ( 14 )}{15})}

指数の規則を適用する:

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

= 75 \cdot \frac{1}{e ^{\frac{35}{10} \cdot \frac{l n ( 14 )}{15}}}

\frac{1}{e ^{\frac{35}{10} \cdot \frac{l n ( 14 )}{15}}} = \frac{1}{e ^{\frac{7 l n ( 14 )}{30}}}

= 75 \cdot \frac{1}{e ^{\frac{7 l n ( 14 )}{30}}}

分数を乗じる:

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

= \frac{1 \cdot 75}{e ^{\frac{7 l n ( 14 )}{30}}}

数を乗じる:

1 \cdot 75 = 75

= \frac{75}{e ^{\frac{7 l n ( 14 )}{30}}}