簡約 12/300*e^{-(30)/(300(16))}

解

簡約

\frac{12}{300} \cdot e^{- \frac{30}{300 ( 16 )}}

\frac{1}{25 e ^{\frac{1}{160}}}

十進法表記

0.03975 \dots

解答ステップ

\frac{12}{300} e^{- \frac{30}{300 ( 16 )}}

指数の規則を適用する:

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

= \frac{12}{300} \cdot \frac{1}{e ^{\frac{30}{300 \cdot 16}}}

\frac{12}{300} = \frac{1}{25}

= \frac{1}{25} \cdot \frac{1}{e ^{\frac{30}{300 \cdot 16}}}

\frac{1}{e ^{\frac{30}{300 \cdot 16}}} = \frac{1}{e ^{\frac{1}{160}}}

= \frac{1}{25} \cdot \frac{1}{e ^{\frac{1}{160}}}

分数を乗じる:

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

= \frac{1 \cdot 1}{25 e ^{\frac{1}{160}}}

数を乗じる:

1 \cdot 1 = 1

= \frac{1}{25 e ^{\frac{1}{160}}}