簡約 0.25(e^{-((0.125)^2)})

解

簡約

0.25 (e^{- ((0.125)^{2})})

0.24612 \dots

解答ステップ

0.25 (e^{- ((0.125)^{2})})

指数の規則を適用する:

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

= 0.25 \cdot \frac{1}{e ^{0.12 5^{2}}}

分数を乗じる:

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

= \frac{1 \cdot 0.25}{e ^{0.12 5^{2}}}

数を乗じる:

1 \cdot 0.25 = 0.25

= \frac{0.25}{e ^{0.12 5^{2}}}

0.12 5^{2} = 0.015625

= \frac{0.25}{e ^{0.015625}}

e^{0.015625} = 1.01574 \dots

= \frac{0.25}{1.01574 \dots}

数を割る:

\frac{0.25}{1.01574 \dots} = 0.24612 \dots

= 0.24612 \dots