To simplify the expression [tex]\( 3^2 + 6 \times 2 \)[/tex], we will follow the proper order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Evaluate the exponent:
[tex]\[
3^2 = 9
\][/tex]
2. Perform the multiplication:
[tex]\[
6 \times 2 = 12
\][/tex]
3. Add the results of the two calculations:
[tex]\[
9 + 12 = 21
\][/tex]
To summarize, we first evaluated the exponent to get 9, then performed the multiplication to get 12, and finally added the two results to obtain 21. Hence, the simplified expression is:
[tex]\[
\boxed{21}
\][/tex]
