簡約 e^{-0.0752}[0.5*0.6315]

解

簡約

e^{- 0.0752} [0.5 \cdot 0.6315]

0.29287 \dots

解答ステップ

e^{- 0.0752} [0.5 \cdot 0.6315]

指数の規則を適用する:

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

= \frac{1}{e ^{0.0752}} [0.5 \cdot 0.6315]

括弧を削除する:

(a) = a

= \frac{1}{e ^{0.0752}} \cdot 0.5 \cdot 0.6315

数を乗じる:

0.5 \cdot 0.6315 = 0.31575

= 0.31575 \cdot \frac{1}{e ^{0.0752}}

分数を乗じる:

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

= \frac{1 \cdot 0.31575}{e ^{0.0752}}

数を乗じる:

1 \cdot 0.31575 = 0.31575

= \frac{0.31575}{e ^{0.0752}}

e^{0.0752} = 1.07809 \dots

= \frac{0.31575}{1.07809 \dots}

数を割る:

\frac{0.31575}{1.07809 \dots} = 0.29287 \dots

= 0.29287 \dots