簡約 140000e^{-(0.11)(10)}

解

簡約

140000 e^{- (0.11) (10)}

46601.95171 \dots

解答ステップ

140000 e^{- (0.11) (10)}

指数の規則を適用する:

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

= 140000 \cdot \frac{1}{e ^{10 \cdot 0.11}}

数を乗じる:

0.11 \cdot 10 = 1.1

= 140000 \cdot \frac{1}{e ^{1.1}}

分数を乗じる:

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

= \frac{1 \cdot 140000}{e ^{1.1}}

数を乗じる:

1 \cdot 140000 = 140000

= \frac{140000}{e ^{1.1}}

e^{1.1} = 3.00416 \dots

= \frac{140000}{3.00416 \dots}

数を割る:

\frac{140000}{3.00416 \dots} = 46601.95171 \dots

= 46601.95171 \dots