Certainly! Let's simplify the expression following the order of operations (parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right)).
Given expression:
[tex]\[
(3 \times 2)^2 + 8
\][/tex]
Step-by-step solution:
1. Evaluate inside the parentheses:
[tex]\[
3 \times 2 = 6
\][/tex]
So the expression now looks like:
[tex]\[
(6)^2 + 8
\][/tex]
2. Evaluate the exponentiation:
[tex]\[
6^2 = 36
\][/tex]
So the expression now is:
[tex]\[
36 + 8
\][/tex]
3. Add the final terms:
[tex]\[
36 + 8 = 44
\][/tex]
So, the simplified expression is:
[tex]\[
(3 \times 2)^2 + 8 = 44
\][/tex]
