簡約 (0.25)^2e^{-(0.25)}

解

簡約

(0.25)^{2} e^{- (0.25)}

0.04867 \dots

解答ステップ

(0.25)^{2} e^{- (0.25)}

指数の規則を適用する:

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

= 0.2 5^{2} \cdot \frac{1}{e ^{0.25}}

分数を乗じる:

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

= \frac{1 \cdot 0.2 5 ^{2}}{e ^{0.25}}

乗算:

1 \cdot 0.2 5^{2} = 0.2 5^{2}

= \frac{0.2 5 ^{2}}{e ^{0.25}}

0.2 5^{2} = 0.0625

= \frac{0.0625}{e ^{0.25}}

e^{0.25} = 1.28402 \dots

= \frac{0.0625}{1.28402 \dots}

数を割る:

\frac{0.0625}{1.28402 \dots} = 0.04867 \dots

= 0.04867 \dots