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受欢迎的代数 >

展开 e^{1/3 ((s^2)/2-9ln|s|)}

解答

展开

e^{\frac{1}{3} (\frac{s ^{2}}{2} - 9 l n ∣ s ∣)}

解答

\frac{e ^{\frac{s ^{2}}{6}}}{∣ s ∣ ^{3}}

求解步骤

e^{\frac{1}{3} (\frac{s ^{2}}{2} - 9 l n ∣ s ∣)}

乘开

\frac{1}{3} (\frac{s ^{2}}{2} - 9 ln ∣ s ∣) : \frac{s ^{2}}{6} - 3 ln ∣ s ∣

= e^{\frac{s ^{2}}{6} - 3 l n ∣ s ∣}

化简

= \frac{1}{6} s^{2}

= e^{\frac{1}{6} s^{2} - 3 l n ∣ s ∣}

使用指数法则:

a^{b + c} = a^{b} a^{c}

= e^{- 3 l n ∣ s ∣} e^{\frac{1}{6} s^{2}}

化简

e^{- 3 l n ∣ s ∣} : ∣ s ∣^{- 3}

= ∣ s ∣^{- 3} e^{\frac{1}{6} s^{2}}

e^{\frac{1}{6} s^{2}} = e^{\frac{s ^{2}}{6}}

= e^{\frac{s ^{2}}{6}} ∣ s ∣^{- 3}

使用指数法则:

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

∣ s ∣^{- 3} = \frac{1}{∣ s ∣ ^{3}}

= e^{\frac{s ^{2}}{6}} \frac{1}{∣ s ∣ ^{3}}

分式相乘:

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

= \frac{1 \cdot e ^{\frac{s ^{2}}{6}}}{∣ s ∣ ^{3}}

乘以:

1 \cdot e^{\frac{s ^{2}}{6}} = e^{\frac{s ^{2}}{6}}

= \frac{e ^{\frac{s ^{2}}{6}}}{∣ s ∣ ^{3}}

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e x p an d \frac{x}{( x ^{2} - 2 x + 2 ) ( x ^{2} + 1 )}

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