To solve the expression [tex]\(3^2 + 3 \times 6\)[/tex], we will follow the 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)).
Step 1: Calculate the exponentiation first.
[tex]\[ 3^2 = 9 \][/tex]
Step 2: Next, perform the multiplication.
[tex]\[ 3 \times 6 = 18 \][/tex]
Step 3: Finally, add the results of the exponentiation and the multiplication.
[tex]\[ 9 + 18 = 27 \][/tex]
So, the solution to the expression [tex]\(3^2 + 3 \times 6\)[/tex] is 27.