簡約 e^{-22.131865}0.25

解

簡約

e^{- 2 \cdot 2.131865} \cdot 0.25

0.00351 \dots

解答ステップ

e^{- 2 \cdot 2.131865} \cdot 0.25

指数の規則を適用する:

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

= 0.25 \cdot \frac{1}{e ^{2 \cdot 2.131865}}

数を乗じる:

2 \cdot 2.131865 = 4.26373

= 0.25 \cdot \frac{1}{e ^{4.26373}}

分数を乗じる:

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

= \frac{1 \cdot 0.25}{e ^{4.26373}}

数を乗じる:

1 \cdot 0.25 = 0.25

= \frac{0.25}{e ^{4.26373}}

e^{4.26373} = 71.07459 \dots

= \frac{0.25}{71.07459 \dots}

数を割る:

\frac{0.25}{71.07459 \dots} = 0.00351 \dots

= 0.00351 \dots