We are going to have to use order of operations (often called "PEMDAS"), which says that expressions should be simplified in the following order:
First, we can see that there are some parentheses, which we will need to take care of first. Inside the parentheses is [tex]\frac{36}{6}[/tex], which simplifies to 6. Our expression is now:
[tex]8^2 + 3(6) - 2 = 8^2 + 3 \cdot 6 - 2[/tex]
Second, we see that there is an exponent. [tex]8^2 = 64[/tex], so our expression is now:
[tex]64 + 3 \cdot 6 - 2[/tex]
Third, we have multiplication, [tex]3 \cdot 6[/tex]. [tex]3 \cdot 6 = 18[/tex], so our expression is now:
[tex]64 + 18 - 2[/tex]
Fourth, we complete the addition and subtraction:
[tex]64 + 18 - 2[/tex]
[tex]82 - 2[/tex]
[tex]\boxed{80}[/tex]
Our answer is 80.