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.