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Popular >

simplify e^{-3/2 ln|x|}

Solution

simplify

e^{- \frac{3}{2} l n ∣ x ∣}

Solution

\frac{1}{∣ x ∣ ^{\frac{3}{2}}}

Solution steps

e^{- \frac{3}{2} l n ∣ x ∣}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{3}{2} l n ∣ x ∣}}

e^{\frac{3}{2} l n ∣ x ∣} = ∣ x ∣^{\frac{3}{2}}

= \frac{1}{∣ x ∣ ^{\frac{3}{2}}}

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Frequently Asked Questions (FAQ)

What is e^{-3/2 ln|x|} ?
The solution to e^{-3/2 ln|x|} is 1/(|x|^{3/2)}