What is e^{-1/3 ln|1-3x^2|} ?

The solution to e^{-1/3 ln|1-3x^2|} is 1/(\sqrt[3]{|-3x^2+1|)}

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simplify e^{-1/3 ln|1-3x^2|}

simplify

e^{- \frac{1}{3} l n ∣ 1 - 3 x^{2} ∣}

Solution steps

e^{- \frac{1}{3} l n ∣ 1 - 3 x^{2} ∣}

Apply exponent rule:

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

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

\frac{e ^{- t}}{e ^{- 2 t}}

ln (x) \cdot e^{- x}

(1000 + 0.624) (3.87645 \cdot 1 0^{- 7})

6 x 1 + \frac{9}{x}

x e^{x} \cdot e^{- x}

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