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Popular >

simplify e^{-3ln|x|}

Solution

simplify

e^{- 3 l n ∣ x ∣}

Solution

\frac{1}{∣ x ∣ ^{3}}

Solution steps

e^{- 3 l n ∣ x ∣}

Apply exponent rule:

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

= \frac{1}{e ^{3 l n ∣ x ∣}}

e^{3 l n ∣ x ∣} = ∣ x ∣^{3}

= \frac{1}{∣ x ∣ ^{3}}

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Frequently Asked Questions (FAQ)

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