簡約 (100)e^{-(0.031^{-1})(20)}

解

簡約

(100) e^{- (0.03 1^{- 1}) (20)}

6.45672 E - 279

解答ステップ

(100) e^{- (0.03 1^{- 1}) (20)}

指数の規則を適用する:

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

= 100 \cdot \frac{1}{e ^{20 \cdot 0.03 1^{- 1}}}

\frac{1}{e ^{0.03 1^{- 1} \cdot 20}} = \frac{1}{e ^{645.16129 \dots}}

= 100 \cdot \frac{1}{e ^{645.16129 \dots}}

分数を乗じる:

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

= \frac{1 \cdot 100}{e ^{645.16129 \dots}}

数を乗じる:

1 \cdot 100 = 100

= \frac{100}{e ^{645.16129 \dots}}

e^{645.16129 \dots} = 1.54877 E 280

= \frac{100}{1.54877 E 280}

数を割る:

\frac{100}{1.54877 E 280} = 6.45672 E - 279

= 6.45672 E - 279