簡約 19.777e^{(-0.0022610)}

解

簡約

19.777 \cdot e^{(- 0.00226 \cdot 10)}

19.33505 \dots

解答ステップ

19.777 e^{(- 0.00226 \cdot 10)}

指数の規則を適用する:

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

= 19.777 \cdot \frac{1}{e ^{10 \cdot 0.00226}}

数を乗じる:

0.00226 \cdot 10 = 0.0226

= 19.777 \cdot \frac{1}{e ^{0.0226}}

分数を乗じる:

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

= \frac{1 \cdot 19.777}{e ^{0.0226}}

数を乗じる:

1 \cdot 19.777 = 19.777

= \frac{19.777}{e ^{0.0226}}

e^{0.0226} = 1.02285 \dots

= \frac{19.777}{1.02285 \dots}

数を割る:

\frac{19.777}{1.02285 \dots} = 19.33505 \dots

= 19.33505 \dots