化简 (pi(0.02)^2)(3e^{-t/(0.5)})

解答

化简

(π (0.02)^{2}) (3 e^{- \frac{t}{0.5}})

\frac{0.00376 \dots}{e ^{\frac{t}{0.5}}}

求解步骤

(π (0.02)^{2}) (3 e^{- \frac{t}{0.5}})

使用指数法则:

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

= 3 \cdot 0.0 2^{2} π \frac{1}{e ^{\frac{t}{0.5}}}

分式相乘:

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

= \frac{1 π 0.0 2 ^{2} \cdot 3}{e ^{\frac{t}{0.5}}}

数字相乘:

1 \cdot 3 = 3

= \frac{3 \cdot 0.0 2 ^{2} π}{e ^{\frac{t}{0.5}}}

3 π 0.0 2^{2} = 0.0012 π

= \frac{0.0012 π}{e ^{\frac{t}{0.5}}}

数字相乘:

0.0012 \cdot 3.14159 \dots = 0.00376 \dots

= \frac{0.00376 \dots}{e ^{\frac{t}{0.5}}}

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