化简 e^{-pi(0.04)/(0.03)}

解答

化简

e^{- π \frac{0.04}{0.03}}

0.01516 \dots

求解步骤

e^{- π \frac{0.04}{0.03}}

使用指数法则:

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

= \frac{1}{e ^{π \frac{0.04}{0.03}}}

e^{π \frac{0.04}{0.03}} = e^{4.18879 \dots}

= \frac{1}{e ^{4.18879 \dots}}

e^{4.18879 \dots} = 65.94296 \dots

= \frac{1}{65.94296 \dots}

数字相除:

\frac{1}{65.94296 \dots} = 0.01516 \dots

= 0.01516 \dots

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