簡約 101.7e^{-0.0001504(6251)}

解

簡約

101.7 e^{- 0.0001504 (6251)}

39.72087 \dots

解答ステップ

101.7 e^{- 0.0001504 (6251)}

指数の規則を適用する:

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

= 101.7 \cdot \frac{1}{e ^{6251 \cdot 0.0001504}}

数を乗じる:

0.0001504 \cdot 6251 = 0.9401504

= 101.7 \cdot \frac{1}{e ^{0.9401504}}

分数を乗じる:

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

= \frac{1 \cdot 101.7}{e ^{0.9401504}}

数を乗じる:

1 \cdot 101.7 = 101.7

= \frac{101.7}{e ^{0.9401504}}

e^{0.9401504} = 2.56036 \dots

= \frac{101.7}{2.56036 \dots}

数を割る:

\frac{101.7}{2.56036 \dots} = 39.72087 \dots

= 39.72087 \dots