簡約 (1/4)e^{(-1/4 (5))}

解

簡約

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

\frac{1}{4 e ^{\frac{5}{4}}}

十進法表記

0.07162 \dots

解答ステップ

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

指数の規則を適用する:

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

= \frac{1}{4} \cdot \frac{1}{e ^{5 \cdot \frac{1}{4}}}

\frac{1}{e ^{\frac{1}{4} \cdot 5}} = \frac{1}{e ^{\frac{5}{4}}}

= \frac{1}{4} \cdot \frac{1}{e ^{\frac{5}{4}}}

分数を乗じる:

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

= \frac{1 \cdot 1}{4 e ^{\frac{5}{4}}}

数を乗じる:

1 \cdot 1 = 1

= \frac{1}{4 e ^{\frac{5}{4}}}