簡約 11e^{-0.05*6/12}

解

簡約

11 e^{- 0.05 \cdot \frac{6}{12}}

10.72840 \dots

解答ステップ

11 e^{- 0.05 \cdot \frac{6}{12}}

指数の規則を適用する:

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

= 11 \cdot \frac{1}{e ^{0.05 \cdot \frac{6}{12}}}

\frac{1}{e ^{0.05 \cdot \frac{6}{12}}} = \frac{1}{e ^{0.025}}

= 11 \cdot \frac{1}{e ^{0.025}}

分数を乗じる:

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

= \frac{1 \cdot 11}{e ^{0.025}}

数を乗じる:

1 \cdot 11 = 11

= \frac{11}{e ^{0.025}}

e^{0.025} = 1.02531 \dots

= \frac{11}{1.02531 \dots}

数を割る:

\frac{11}{1.02531 \dots} = 10.72840 \dots

= 10.72840 \dots