Respuesta :

[tex]3+(2+8)^2\colon4\cdot(\frac{1}{2})^4[/tex]

We need to solve the expression above. To do that, the first step is to solve the operations inside the parenthesis:

[tex]3+10^2\colon4\cdot\frac{1}{2^4}[/tex]

Then we need to calculate the powers.

[tex]3+100\colon4\cdot\frac{1}{16}[/tex]

Now we need to calculate the division.

[tex]3+25\cdot\frac{1}{16}[/tex]

We need to now perform the multiplications.

[tex]3+\frac{25}{16}[/tex]

Finally we need to perform the sum.

[tex]\begin{gathered} \frac{16\cdot3+25}{16} \\ \frac{48+25}{16}=\frac{73}{16} \end{gathered}[/tex]

The result of the expression is 73/16.

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