簡約 e^{(-(24010^3)/(8.314(751+273)))}

解

簡約

e^{(- \frac{240 \cdot 1 0 ^{3}}{8.314 \cdot ( 751 + 273 )})}

5.71563 E - 13

解答ステップ

e^{(- \frac{240 \cdot 1 0 ^{3}}{8.314 ( 751 + 273 )})}

指数の規則を適用する:

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

= \frac{1}{e ^{\frac{240 \cdot 1 0 ^{3}}{8.314 ( 751 + 273 )}}}

8.314 (751 + 273) = 8513.536

= \frac{1}{e ^{\frac{240 \cdot 1 0 ^{3}}{8513.536}}}

240 \cdot 1 0^{3} = 240000

= \frac{1}{e ^{\frac{240000}{8513.536}}}

e^{\frac{240000}{8513.536}} = 1749588497658.824

= \frac{1}{1749588497658.824}

数を割る:

\frac{1}{1749588497658.824} = 5.71563 E - 13

= 5.71563 E - 13