簡約 1*10^{-3}e^{(-0.7)/(0.026)}

解

簡約

1 \cdot 1 0^{- 3} e^{\frac{- 0.7}{0.026}}

2.02981 E - 15

解答ステップ

1 \cdot 1 0^{- 3} e^{\frac{- 0.7}{0.026}}

指数の規則を適用する:

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

= 1 \cdot e^{\frac{- 0.7}{0.026}} \frac{1}{1 0 ^{3}}

分数の規則を適用する:

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

= 1 \cdot e^{- \frac{0.7}{0.026}} \frac{1}{1 0 ^{3}}

指数の規則を適用する:

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

e^{- \frac{0.7}{0.026}} = \frac{1}{e ^{\frac{0.7}{0.026}}}

= 1 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{1}{e ^{\frac{0.7}{0.026}}}

分数を乗じる:

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

= 1 \cdot \frac{1 \cdot 1}{1 0 ^{3} e ^{\frac{0.7}{0.026}}}

\frac{1 \cdot 1}{1 0 ^{3} e ^{\frac{0.7}{0.026}}} = 2.02981 E - 15

= 1 \cdot 2.02981 E - 15

数を乗じる:

1 \cdot 2.02981 E - 15 = 2.02981 E - 15

= 2.02981 E - 15