What is ((e^{-2x^2})/x)^{-1} ?

The solution to ((e^{-2x^2})/x)^{-1} is e^{2x^2}x

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simplify ((e^{-2x^2})/x)^{-1}

simplify

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

e^{2 x^{2}} x

Solution steps

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

Apply exponent rule:

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x}{e ^{- 2 x^{2}}}

Apply exponent rule:

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

e^{- 2 x^{2}} = \frac{1}{e ^{2 x^{2}}}

= \frac{x}{\frac{1}{e ^{2 x^{2}}}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{x e ^{2 x^{2}}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= x e^{2 x^{2}}

2 x + 8

9 e^{- 4}

7.59 \cdot 1 0^{- 1}

\frac{( - n + 4 c ) ^{3}}{n ^{3}}

2.61 \cdot 1 0^{- 5}

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