簡約 263.95e^{-0.02729.2}

解

簡約

263.95 \cdot e^{- 0.027 \cdot 29.2}

119.98415 \dots

解答ステップ

263.95 e^{- 0.027 \cdot 29.2}

指数の規則を適用する:

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

= 263.95 \cdot \frac{1}{e ^{0.027 \cdot 29.2}}

数を乗じる:

0.027 \cdot 29.2 = 0.7884

= 263.95 \cdot \frac{1}{e ^{0.7884}}

分数を乗じる:

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

= \frac{1 \cdot 263.95}{e ^{0.7884}}

数を乗じる:

1 \cdot 263.95 = 263.95

= \frac{263.95}{e ^{0.7884}}

e^{0.7884} = 2.19987 \dots

= \frac{263.95}{2.19987 \dots}

数を割る:

\frac{263.95}{2.19987 \dots} = 119.98415 \dots

= 119.98415 \dots