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Popular >

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

Solution

simplify

e^{- 2 l n ∣ x^{2} - 2 ∣}

Solution

\frac{1}{( x ^{2} - 2 ) ^{2}}

Solution steps

e^{- 2 l n ∣ x^{2} - 2 ∣}

Apply exponent rule:

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

= \frac{1}{e ^{2 l n ∣ x^{2} - 2 ∣}}

e^{2 l n ∣ x^{2} - 2 ∣} = (x^{2} - 2)^{2}

= \frac{1}{( x ^{2} - 2 ) ^{2}}

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Frequently Asked Questions (FAQ)

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