簡約 1.41e^{-1.960.019}

解

簡約

1.41 \cdot e^{- 1.96 \cdot 0.019}

1.35845 \dots

解答ステップ

1.41 e^{- 1.96 \cdot 0.019}

指数の規則を適用する:

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

= 1.41 \cdot \frac{1}{e ^{0.019 \cdot 1.96}}

数を乗じる:

1.96 \cdot 0.019 = 0.03724

= 1.41 \cdot \frac{1}{e ^{0.03724}}

分数を乗じる:

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

= \frac{1 \cdot 1.41}{e ^{0.03724}}

数を乗じる:

1 \cdot 1.41 = 1.41

= \frac{1.41}{e ^{0.03724}}

e^{0.03724} = 1.03794 \dots

= \frac{1.41}{1.03794 \dots}

数を割る:

\frac{1.41}{1.03794 \dots} = 1.35845 \dots

= 1.35845 \dots