簡約 90e^{-(0.021661)(12)}

解

簡約

90 e^{- (0.021661) (12)}

69.39936 \dots

解答ステップ

90 e^{- (0.021661) (12)}

指数の規則を適用する:

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

= 90 \cdot \frac{1}{e ^{12 \cdot 0.021661}}

数を乗じる:

0.021661 \cdot 12 = 0.259932

= 90 \cdot \frac{1}{e ^{0.259932}}

分数を乗じる:

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

= \frac{1 \cdot 90}{e ^{0.259932}}

数を乗じる:

1 \cdot 90 = 90

= \frac{90}{e ^{0.259932}}

e^{0.259932} = 1.29684 \dots

= \frac{90}{1.29684 \dots}

数を割る:

\frac{90}{1.29684 \dots} = 69.39936 \dots

= 69.39936 \dots