What is (e^{-6-2ln(x)})/(e^{6x)} ?

The solution to (e^{-6-2ln(x)})/(e^{6x)} is (e^{-6x-6})/(x^2)

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simplify (e^{-6-2ln(x)})/(e^{6x)}

simplify

\frac{e ^{- 6 - 2 l n (x)}}{e ^{6 x}}

\frac{e ^{- 6 x - 6}}{x ^{2}}

Solution steps

\frac{e ^{- 6 - 2 l n (x)}}{e ^{6 x}}

Apply exponent rule:

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

= e^{- 6 - 2 l n (x) - 6 x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{- 2 l n (x)} e^{- 6 - 6 x}

Simplify

e^{- 2 l n (x)} : x^{- 2}

= x^{- 2} e^{- 6 - 6 x}

Simplify

= \frac{e ^{- 6 x - 6}}{x ^{2}}

e^{- x} \times (- e^{x})

e^{- x^{- 2}}

0.5 t^{2} e^{- 0.6 t}

(x + 1)^{2} \times (x - 1)^{2}

6.7 \times 10 e^{- 11}

What is (e^{-6-2ln(x)})/(e^{6x)} ?
The solution to (e^{-6-2ln(x)})/(e^{6x)} is (e^{-6x-6})/(x^2)