簡約 600e^{-0.032(6)}

解

簡約

600 e^{- 0.032 (6)}

495.18412 \dots

解答ステップ

600 e^{- 0.032 (6)}

指数の規則を適用する:

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

= 600 \cdot \frac{1}{e ^{6 \cdot 0.032}}

数を乗じる:

0.032 \cdot 6 = 0.192

= 600 \cdot \frac{1}{e ^{0.192}}

分数を乗じる:

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

= \frac{1 \cdot 600}{e ^{0.192}}

数を乗じる:

1 \cdot 600 = 600

= \frac{600}{e ^{0.192}}

e^{0.192} = 1.21167 \dots

= \frac{600}{1.21167 \dots}

数を割る:

\frac{600}{1.21167 \dots} = 495.18412 \dots

= 495.18412 \dots