To do the operation, we can follow:
PEMDAS
This is the order in which to do these problems . It means:
P parenthesis
E exponents
M multiplication
D division
A addition
and
S subtraction
Doing the parenthesis first, we have:
[tex]\begin{gathered} (6\times\frac{1}{2})^2+20\cdot5 \\ =(3)^2+20\cdot5 \end{gathered}[/tex]Now, we do the exponent:
[tex]\begin{gathered} (3)^2+20\cdot5 \\ =9+20\cdot5 \end{gathered}[/tex]Then, we have multiplication:
[tex]\begin{gathered} 9+20\cdot5 \\ =9+100 \\ =109 \end{gathered}[/tex]