簡約 [0.4+2.1(0.5)]e^{-5(0.5)}

解

簡約

[0.4 + 2.1 (0.5)] e^{- 5 (0.5)}

0.11902 \dots

解答ステップ

[0.4 + 2.1 (0.5)] e^{- 5 (0.5)}

指数の規則を適用する:

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

= \frac{1}{e ^{5 \cdot 0.5}} [0.4 + 0.5 \cdot 2.1]

数を乗じる:

2.1 \cdot 0.5 = 1.05

= \frac{1}{e ^{5 \cdot 0.5}} (0.4 + 1.05)

数を乗じる:

5 \cdot 0.5 = 2.5

= \frac{1}{e ^{2.5}} (0.4 + 1.05)

数を足す:

0.4 + 1.05 = 1.45

= 1.45 \cdot \frac{1}{e ^{2.5}}

分数を乗じる:

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

= \frac{1 \cdot 1.45}{e ^{2.5}}

数を乗じる:

1 \cdot 1.45 = 1.45

= \frac{1.45}{e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{1.45}{12.18249 \dots}

数を割る:

\frac{1.45}{12.18249 \dots} = 0.11902 \dots

= 0.11902 \dots