簡約 e^{-3.742}*(3.742)^2 1/(2!)

解

簡約

e^{- 3.742} \cdot (3.742)^{2} \frac{1}{2 !}

0.16597 \dots

解答ステップ

e^{- 3.742} (3.742)^{2} \frac{1}{2 !}

指数の規則を適用する:

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

= 3.74 2^{2} \cdot \frac{1}{2 !} \cdot \frac{1}{e ^{3.742}}

分数を乗じる:

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

= \frac{1 \cdot 1 \cdot 3.74 2 ^{2}}{e ^{3.742} \cdot 2 !}

乗算:

1 \cdot 1 \cdot 3.74 2^{2} = 3.74 2^{2}

= \frac{3.74 2 ^{2}}{e ^{3.742} \cdot 2 !}

3.74 2^{2} = 14.002564

= \frac{14.002564}{e ^{3.742} \cdot 2 !}

e^{3.742} \cdot 2! = 2 e^{3.742}

= \frac{14.002564}{2 e ^{3.742}}

e^{3.742} = 42.18227 \dots

= \frac{14.002564}{2 \cdot 42.18227 \dots}

数を乗じる:

2 \cdot 42.18227 \dots = 84.36454 \dots

= \frac{14.002564}{84.36454 \dots}

数を割る:

\frac{14.002564}{84.36454 \dots} = 0.16597 \dots

= 0.16597 \dots