Question

Como se resolve essa expressão numérica?

Answer 1

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$\frac{[( \frac{5}{6}- \frac{1}{3} )+ \frac{1}{2} ]^{-2}\div \sqrt{ \frac{1}{16} } }{ \sqrt[3]{27} +1} =$

$\frac{[( \frac{5-2}{6})+ \frac{1}{2} ]^{-2}\div \frac{1}{4} }{ \sqrt[3]{3^3}+1 } =$

$\frac{[ \frac{3}{6}+ \frac{1}{2})^{-2}\div \frac{1}{4} }{3+1} = \\ \\ \frac{( \frac{1}{2}+ \frac{1}{2})^{-2}\times4 }{4} = \\ \\ \frac{( \frac{2}{2} )^{-2}\times4}{4} = \\ \\ \frac{(1)^{-2}\times4}{4} = \\ \\ \frac{4}{4} =1$