簡約 4.18e^{-(0.5)/(1.987*10^{-3)}}

解

簡約

4.18 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3}}}

2.17375 E - 109

解答ステップ

4.18 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3}}}

指数の規則を適用する:

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

= 4.18 \cdot \frac{1}{e ^{\frac{0.5}{1 0 ^{- 3} \cdot 1.987}}}

\frac{1}{e ^{\frac{0.5}{1.987 \cdot 1 0 ^{- 3}}}} = \frac{1}{e ^{\frac{0.5}{0.001987}}}

= 4.18 \cdot \frac{1}{e ^{\frac{0.5}{0.001987}}}

分数を乗じる:

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

= \frac{1 \cdot 4.18}{e ^{\frac{0.5}{0.001987}}}

数を乗じる:

1 \cdot 4.18 = 4.18

= \frac{4.18}{e ^{\frac{0.5}{0.001987}}}

e^{\frac{0.5}{0.001987}} = 1.92294 E 109

= \frac{4.18}{1.92294 E 109}

数を割る:

\frac{4.18}{1.92294 E 109} = 2.17375 E - 109

= 2.17375 E - 109