Let's simplify the expression step-by-step using the order of operations:
1. Evaluate the exponent:
[tex]\[
3^2 = 9
\][/tex]
2. Perform the subtraction inside the parentheses:
[tex]\[
13 - 9 = 4
\][/tex]
3. Multiply the result by 6:
[tex]\[
6 \times 4 = 24
\][/tex]
4. Add 1 to the result:
[tex]\[
24 + 1 = 25
\][/tex]
Therefore, the simplified result of the expression [tex]\( 6\left(13-3^2\right)+1 \)[/tex] is:
[tex]\[
25
\][/tex]
