化简 2^2(e^{-2/2})

解答

化简

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

\frac{4}{e}

十进制

1.47151 \dots

求解步骤

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

使用指数法则:

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

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

使用法则

\frac{a}{a} = 1

\frac{2}{2} = 1

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

使用法则

a^{1} = a

e^{1} = e

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

分式相乘:

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

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

乘以:

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

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

2^{2} = 4

= \frac{4}{e}

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