簡約 72e^{-0.0673(3)}

解

簡約

72 e^{- 0.0673 (3)}

58.83671 \dots

解答ステップ

72 e^{- 0.0673 (3)}

指数の規則を適用する:

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

= 72 \cdot \frac{1}{e ^{3 \cdot 0.0673}}

数を乗じる:

0.0673 \cdot 3 = 0.2019

= 72 \cdot \frac{1}{e ^{0.2019}}

分数を乗じる:

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

= \frac{1 \cdot 72}{e ^{0.2019}}

数を乗じる:

1 \cdot 72 = 72

= \frac{72}{e ^{0.2019}}

e^{0.2019} = 1.22372 \dots

= \frac{72}{1.22372 \dots}

数を割る:

\frac{72}{1.22372 \dots} = 58.83671 \dots

= 58.83671 \dots