簡約 597.96e^{-2.843(0.64)}

解

簡約

597.96 e^{- 2.843 (0.64)}

96.93143 \dots

解答ステップ

597.96 e^{- 2.843 (0.64)}

指数の規則を適用する:

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

= 597.96 \cdot \frac{1}{e ^{0.64 \cdot 2.843}}

数を乗じる:

2.843 \cdot 0.64 = 1.81952

= 597.96 \cdot \frac{1}{e ^{1.81952}}

分数を乗じる:

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

= \frac{1 \cdot 597.96}{e ^{1.81952}}

数を乗じる:

1 \cdot 597.96 = 597.96

= \frac{597.96}{e ^{1.81952}}

e^{1.81952} = 6.16889 \dots

= \frac{597.96}{6.16889 \dots}

数を割る:

\frac{597.96}{6.16889 \dots} = 96.93143 \dots

= 96.93143 \dots