簡約 20e^{-0.03(1/4)}

解

簡約

20 e^{- 0.03 (\frac{1}{4})}

19.85056 \dots

解答ステップ

20 e^{- 0.03 (\frac{1}{4})}

指数の規則を適用する:

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

= 20 \cdot \frac{1}{e ^{0.03 \cdot \frac{1}{4}}}

\frac{1}{e ^{0.03 \cdot \frac{1}{4}}} = \frac{1}{e ^{0.0075}}

= 20 \cdot \frac{1}{e ^{0.0075}}

分数を乗じる:

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

= \frac{1 \cdot 20}{e ^{0.0075}}

数を乗じる:

1 \cdot 20 = 20

= \frac{20}{e ^{0.0075}}

e^{0.0075} = 1.00752 \dots

= \frac{20}{1.00752 \dots}

数を割る:

\frac{20}{1.00752 \dots} = 19.85056 \dots

= 19.85056 \dots