簡約 4(e^{-(3/4)^2})

解

簡約

4 (e^{- (\frac{3}{4})^{2}})

\frac{4}{e ^{\frac{9}{16}}}

十進法表記

2.27913 \dots

解答ステップ

4 (e^{- (\frac{3}{4})^{2}})

指数の規則を適用する:

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

= 4 \cdot \frac{1}{e ^{(\frac{3}{4})^{2}}}

\frac{1}{e ^{(\frac{3}{4})^{2}}} = \frac{1}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

= 4 \cdot \frac{1}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

分数を乗じる:

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

= \frac{1 \cdot 4}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

数を乗じる:

1 \cdot 4 = 4

= \frac{4}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

\frac{3 ^{2}}{4 ^{2}} = \frac{9}{16}

= \frac{4}{e ^{\frac{9}{16}}}