簡約 1/((2pisqrt(4.32)))e^{(-1/2 (0.41481))}

解

簡約

\frac{1}{( 2 π 4.32 )} e^{(- \frac{1}{2} (0.41481))}

0.06223 \dots

解答ステップ

\frac{1}{( 2 π 4.32 )} e^{(- \frac{1}{2} (0.41481))}

指数の規則を適用する:

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

= \frac{1}{2 4.32 π} \cdot \frac{1}{e ^{0.41481 \cdot \frac{1}{2}}}

\frac{1}{e ^{\frac{1}{2} \cdot 0.41481}} = \frac{1}{e ^{0.207405}}

= \frac{1}{e ^{0.207405}} \cdot \frac{1}{2 4.32 π}

分数を乗じる:

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

= \frac{1 \cdot 1}{2 π 4.32 e ^{0.207405}}

数を乗じる:

1 \cdot 1 = 1

= \frac{1}{2 4.32 π e ^{0.207405}}

4.32 = 2.07846 \dots

= \frac{1}{2 \cdot 2.07846 \dots π e ^{0.207405}}

e^{0.207405} = 1.23048 \dots

= \frac{1}{2 \cdot 1.23048 \dots \cdot 2.07846 \dots π}

数を乗じる:

2 \cdot 3.14159 \dots \cdot 2.07846 \dots \cdot 1.23048 \dots = 16.06928 \dots

= \frac{1}{16.06928 \dots}

数を割る:

\frac{1}{16.06928 \dots} = 0.06223 \dots

= 0.06223 \dots