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Popular >

simplify e^{-2/x ln|x+xy|}

Solution

simplify

e^{- \frac{2}{x} l n ∣ x + x y ∣}

Solution

\frac{1}{∣ x + x y ∣ ^{\frac{2}{x}}}

Solution steps

e^{- \frac{2}{x} l n ∣ x + x y ∣}

Apply exponent rule:

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

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

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

= \frac{1}{∣ x + x y ∣ ^{2 \cdot \frac{1}{x}}}

∣ x + x y ∣^{2 \cdot \frac{1}{x}} = ∣ x + x y ∣^{\frac{2}{x}}

= \frac{1}{∣ x + x y ∣ ^{\frac{2}{x}}}

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Frequently Asked Questions (FAQ)

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