簡約 86.5e^{-0.7684.47}

解

簡約

86.5 \cdot e^{- 0.768 \cdot 4.47}

2.79319 \dots

解答ステップ

86.5 e^{- 0.768 \cdot 4.47}

指数の規則を適用する:

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

= 86.5 \cdot \frac{1}{e ^{0.768 \cdot 4.47}}

数を乗じる:

0.768 \cdot 4.47 = 3.43296

= 86.5 \cdot \frac{1}{e ^{3.43296}}

分数を乗じる:

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

= \frac{1 \cdot 86.5}{e ^{3.43296}}

数を乗じる:

1 \cdot 86.5 = 86.5

= \frac{86.5}{e ^{3.43296}}

e^{3.43296} = 30.96817 \dots

= \frac{86.5}{30.96817 \dots}

数を割る:

\frac{86.5}{30.96817 \dots} = 2.79319 \dots

= 2.79319 \dots