Question

Simplificar a expressão

Answer 1

$(\dfrac{m.n}{x})^2 . \dfrac{m.n^2}{x} \div \dfrac{m^3.n^4}{x^-^3} \\ \\ \\ \dfrac{m^2.n^2}{x^2} . \dfrac{m.n^2}{x} \div \dfrac{m^3.n^4}{ \dfrac{1}{x^3} }$
$\\ \\ \\ \dfrac{m^3.n^4}{x^3} \div m^3.n^4.x^3 \\ \\ \\ \dfrac{ \dfrac{\not m^3. \not n^4}{x^3} }{ \not m^3.\not n^4. x^3} \\ \\ \\ \dfrac{1}{x^3 * x^3} \\ \\ \\ \fbox{ \ \dfrac{1}{x^6} \ }$

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$Para \ x = - \dfrac{1}{2}$


$\dfrac{1}{x^6} = \dfrac{1}{ (-\dfrac{1}{2})^6} \\ \\ \\ \dfrac{1}{ (-\dfrac{1^6}{2^6})} \\ \\ \\ \dfrac{1}{ \dfrac{1}{64}} \\ \\ \\ 1 . \dfrac{64}{1} = \fbox{ \ 64 }$