簡約 30e^{-0.019254(12)}

解

簡約

30 e^{- 0.019254 (12)}

23.81104 \dots

解答ステップ

30 e^{- 0.019254 (12)}

指数の規則を適用する:

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

= 30 \cdot \frac{1}{e ^{12 \cdot 0.019254}}

数を乗じる:

0.019254 \cdot 12 = 0.231048

= 30 \cdot \frac{1}{e ^{0.231048}}

分数を乗じる:

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

= \frac{1 \cdot 30}{e ^{0.231048}}

数を乗じる:

1 \cdot 30 = 30

= \frac{30}{e ^{0.231048}}

e^{0.231048} = 1.25991 \dots

= \frac{30}{1.25991 \dots}

数を割る:

\frac{30}{1.25991 \dots} = 23.81104 \dots

= 23.81104 \dots