化简 e^{-pi*(0.24065)/(sqrt(1-0.24065^2))}

解答

化简

e^{- π \cdot \frac{0.24065}{1 - 0.2406 5 ^{2}}}

0.45890 \dots

求解步骤

e^{- π \frac{0.24065}{1 - 0.2406 5 ^{2}}}

使用指数法则:

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

= \frac{1}{e ^{π \frac{0.24065}{1 - 0.2406 5 ^{2}}}}

1 - 0.2406 5^{2} = 0.9420875775

= \frac{1}{e ^{π \frac{0.24065}{0.9420875775}}}

e^{π \frac{0.24065}{0.9420875775}} = e^{0.77891 \dots}

= \frac{1}{e ^{0.77891 \dots}}

e^{0.77891 \dots} = 2.17910 \dots

= \frac{1}{2.17910 \dots}

数字相除:

\frac{1}{2.17910 \dots} = 0.45890 \dots

= 0.45890 \dots

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