簡約 e^{(-(4.7510^3)/(8.314298.15))}

解

簡約

e^{(- \frac{4.75 \cdot 1 0 ^{3}}{8.314 \cdot 298.15})}

0.14715 \dots

解答ステップ

e^{(- \frac{4.75 \cdot 1 0 ^{3}}{8.314 \cdot 298.15})}

指数の規則を適用する:

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

= \frac{1}{e ^{\frac{4.75 \cdot 1 0 ^{3}}{8.314 \cdot 298.15}}}

数を乗じる:

8.314 \cdot 298.15 = 2478.8191

= \frac{1}{e ^{\frac{4.75 \cdot 1 0 ^{3}}{2478.8191}}}

4.75 \cdot 1 0^{3} = 4750

= \frac{1}{e ^{\frac{4750}{2478.8191}}}

e^{\frac{4750}{2478.8191}} = 6.79532 \dots

= \frac{1}{6.79532 \dots}

数を割る:

\frac{1}{6.79532 \dots} = 0.14715 \dots

= 0.14715 \dots