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

The solution to e^{-2ln(x)}((e^x(x-2))/x) is (e^x(x-2))/(x^3)

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

simplify

e^{- 2 l n (x)} (\frac{e ^{x} ( x - 2 )}{x})

\frac{e ^{x} ( x - 2 )}{x ^{3}}

Solution steps

e^{- 2 l n (x)} (\frac{e ^{x} ( x - 2 )}{x})

Apply exponent rule:

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

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

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

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

Simplify

= \frac{e ^{x} ( x - 2 )}{x ^{3}}

(\frac{2}{( 3 x + 1 )})^{- 2}

1 0^{1.5}

- 60 \cdot 1 0^{- 6} \cdot ln (\frac{9}{11})

(\frac{8}{4})^{1.2} \cdot 2.1 \cdot 1 0^{- 9} \cdot 10

3^{c} \cdot x^{c}

What is e^{-2ln(x)}((e^x(x-2))/x) ?
The solution to e^{-2ln(x)}((e^x(x-2))/x) is (e^x(x-2))/(x^3)