簡約 710^{-5}e^{(2.04)/((8.6210^{-5))(875+273)}}

解

簡約

7 \cdot 1 0^{- 5} e^{\frac{2.04}{( 8.62 \cdot 1 0 ^{- 5} ) ( 875 + 273 )}}

62810.29633 \dots

解答ステップ

7 \cdot 1 0^{- 5} e^{\frac{2.04}{( 8.62 \cdot 1 0 ^{- 5} ) ( 875 + 273 )}}

指数の規則を適用する:

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

= 7 e^{\frac{2.04}{1 0 ^{- 5} \cdot 8.62 ( 875 + 273 )}} \frac{1}{1 0 ^{5}}

e^{\frac{2.04}{8.62 \cdot 1 0 ^{- 5} ( 875 + 273 )}} = e^{\frac{2.04}{0.0989576}}

= 7 e^{\frac{2.04}{0.0989576}} \frac{1}{1 0 ^{5}}

分数を乗じる:

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

= \frac{1 \cdot 7 e ^{\frac{2.04}{0.0989576}}}{1 0 ^{5}}

数を乗じる:

1 \cdot 7 = 7

= \frac{7 e ^{\frac{2.04}{0.0989576}}}{1 0 ^{5}}

1 0^{5} = 100000

= \frac{7 e ^{\frac{2.04}{0.0989576}}}{100000}

e^{\frac{2.04}{0.0989576}} = 897289947.62138 \dots

= \frac{7 \cdot 897289947.62138 \dots}{100000}

数を乗じる:

7 \cdot 897289947.62138 \dots = 6281029633.349696

= \frac{6281029633.349696}{100000}

数を割る:

\frac{6281029633.349696}{100000} = 62810.29633 \dots

= 62810.29633 \dots