Certainly! Let's break down and evaluate the expression [tex]\(5(7-4)^2 \div 3 + 11\)[/tex] step-by-step.
1. Perform the operation inside the parentheses:
[tex]\[
7 - 4 = 3
\][/tex]
2. Square the result from Step 1:
[tex]\[
3^2 = 9
\][/tex]
3. Multiply the squared result by 5:
[tex]\[
5 \times 9 = 45
\][/tex]
4. Divide the result by 3:
[tex]\[
45 \div 3 = 15
\][/tex]
5. Add 11 to the result from Step 4:
[tex]\[
15 + 11 = 26
\][/tex]
Therefore, the final result of the expression [tex]\(5(7-4)^2 \div 3 + 11\)[/tex] is [tex]\(26\)[/tex].
