簡約 e^{-0.06921}(1-e^{0.006472})

解

簡約

e^{- 0.06921} (1 - e^{0.006472})

- 0.00605 \dots

解答ステップ

e^{- 0.06921} (1 - e^{0.006472})

指数の規則を適用する:

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

= \frac{1}{e ^{0.06921}} (- e^{0.006472} + 1)

分数を乗じる:

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

= \frac{1 \cdot ( 1 - e ^{0.006472} )}{e ^{0.06921}}

1 \cdot (1 - e^{0.006472}) = 1 - e^{0.006472}

= \frac{1 - e ^{0.006472}}{e ^{0.06921}}

e^{0.006472} = 1.00649 \dots

= \frac{1 - 1.00649 \dots}{e ^{0.06921}}

数を引く:

1 - 1.00649 \dots = - 0.00649 \dots

= \frac{- 0.00649 \dots}{e ^{0.06921}}

分数の規則を適用する:

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

= - \frac{0.00649 \dots}{e ^{0.06921}}

簡素化

\frac{0.00649 \dots}{e ^{0.06921}} : 0.00605 \dots

= - 0.00605 \dots