簡約 2e^{-2(0.1)}

解

簡約

2 e^{- 2 (0.1)}

1.63746 \dots

解答ステップ

2 e^{- 2 (0.1)}

指数の規則を適用する:

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

= 2 \cdot \frac{1}{e ^{2 \cdot 0.1}}

数を乗じる:

2 \cdot 0.1 = 0.2

= 2 \cdot \frac{1}{e ^{0.2}}

分数を乗じる:

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

= \frac{1 \cdot 2}{e ^{0.2}}

数を乗じる:

1 \cdot 2 = 2

= \frac{2}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{2}{1.22140 \dots}

数を割る:

\frac{2}{1.22140 \dots} = 1.63746 \dots

= 1.63746 \dots