化简 e^{-(0.01+0.02)*8}

解答

化简

e^{- (0.01 + 0.02) \cdot 8}

0.78662 \dots

求解步骤

e^{- (0.01 + 0.02) \cdot 8}

使用指数法则:

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

= \frac{1}{e ^{8 (0.01 + 0.02)}}

e^{(0.01 + 0.02) \cdot 8} = e^{0.24}

= \frac{1}{e ^{0.24}}

e^{0.24} = 1.27124 \dots

= \frac{1}{1.27124 \dots}

数字相除:

\frac{1}{1.27124 \dots} = 0.78662 \dots

= 0.78662 \dots

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