簡約 1.00330545e^{-(0.00007948)/(1.987298)}

解

簡約

1.00330545 \cdot e^{- \frac{0.00007948}{1.987 \cdot 298}}

1.00330 \dots

解答ステップ

1.00330545 e^{- \frac{0.00007948}{1.987 \cdot 298}}

指数の規則を適用する:

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

= 1.00330545 \cdot \frac{1}{e ^{\frac{0.00007948}{298 \cdot 1.987}}}

数を乗じる:

1.987 \cdot 298 = 592.126

= 1.00330545 \cdot \frac{1}{e ^{\frac{0.00007948}{592.126}}}

分数を乗じる:

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

= \frac{1 \cdot 1.00330545}{e ^{\frac{0.00007948}{592.126}}}

数を乗じる:

1 \cdot 1.00330545 = 1.00330545

= \frac{1.00330545}{e ^{\frac{0.00007948}{592.126}}}

e^{\frac{0.00007948}{592.126}} = 1.00000 \dots

= \frac{1.00330545}{1.00000 \dots}

数を割る:

\frac{1.00330545}{1.00000 \dots} = 1.00330 \dots

= 1.00330 \dots