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Popular >

simplify e^{-2ln|-e^x+1|}

Solution

simplify

e^{- 2 l n ∣ - e^{x} + 1 ∣}

Solution

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

Solution steps

e^{- 2 l n ∣ - e^{x} + 1 ∣}

Apply exponent rule:

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

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

e^{2 l n ∣ - e^{x} + 1 ∣} = (- e^{x} + 1)^{2}

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

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Frequently Asked Questions (FAQ)

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