Question

gente, me ajudem!!!! não entendo o porque da resposta ser 71. Preciso do calculo!!
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Answer 1

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

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

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

 $-1+\sqrt{16}\: \div [\:\frac{2}{2} -\frac{1}{2}-\frac{4}{9} } \:]=$

 $-1+\sqrt{16}\: \div [\:\frac{18}{18} -\frac{9}{18}-\frac{8}{18} } \:]=$

 $-1+\sqrt{16}\: \div [\: \frac{1}{18}} } \:]=$

  $-1+4}\: \div [\: \frac{1}{18}} } \:]=$

  $-1+4}\: \times [\: \frac{18}{1}} } \:]=$

  $-1+4}\: \times18=$

     $-1+72=$

          $71$

   $Resposta:(a)$

 

 

   

     

                 

   

 

 

 

 

 

 

 

 

     

     

     

     

 

 

 

 

Answer 2

✅ Após ter resolvido  a expressão aritmética, concluímos que seu resultado é:

               $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf 71\:\:\:}} \end{gathered} }$

Portanto, a opção correta é:

          $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf Letra\:A\:\:\:}} \end{gathered} }$

Resolvendo expressão aritmética:

 $\Large\displaystyle\begin{gathered}(-1)^{3} + (\sqrt{2})^{4} \div \Bigg[2\times\frac{1}{2} - \frac{1}{2} - \Bigg(\frac{1}{3} - 1\Bigg)^{2}\: \Bigg] \end{gathered}$

 $\Large\displaystyle\text{ \begin{gathered}-1 + (2^{\frac{1}{2} })^{4} \div \Bigg[\frac{2}{2} - \frac{1}{2} - \Bigg(\frac{1 - 3}{3} \Bigg)^{2}\: \Bigg]\end{gathered} }$

 $\Large\displaystyle\text{ \begin{gathered}-1 + 2^{\frac{4}{2}} \div\Bigg[1 - \frac{1}{2} - \Bigg(\frac{-2}{3} \Bigg)^{2}\: \Bigg] \end{gathered} }$

 $\Large\displaystyle\text{ \begin{gathered}-1 + 2^{2} \div\Bigg[1 - \frac{1}{2} - \frac{(-2)^{2}}{3^{2}} \Bigg] \end{gathered} }$

 $\Large\displaystyle\begin{gathered}- 1 + 4 \div\Bigg[1 - \frac{1}{2} - \frac{4}{9} \Bigg] \end{gathered}$

 $\Large\displaystyle\begin{gathered}-1 + 4 \div \Bigg[\frac{18 - 9 - 8}{18} \Bigg] \end{gathered}$

 $\Large\displaystyle\begin{gathered}-1 + 4 \div \frac{1}{18} \end{gathered}$

  $\Large\displaystyle\text{ \begin{gathered}-1 + \frac{4}{\frac{1}{18} } \end{gathered} }$

  $\Large\displaystyle\begin{gathered}-1 + 4\cdot\frac{18}{1} \end{gathered}$

  $\Large\displaystyle\begin{gathered}-1 + 72 \end{gathered}$

    $\Large\displaystyle\begin{gathered}71\end{gathered}$

✅ Portanto, o resultado é:

      $\Large\displaystyle\begin{gathered}71\end{gathered}$  

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