Certainly! Let's simplify the expression step-by-step using the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
Given expression:
[tex]\[
(5+4)^2
\][/tex]
1. Parentheses: First, we evaluate the expression inside the parentheses.
[tex]\[
5 + 4 = 9
\][/tex]
So the expression simplifies to:
[tex]\[
9^2
\][/tex]
2. Exponents: Next, we handle the exponentiation.
[tex]\[
9^2 = 81
\][/tex]
Therefore, the simplified expression is:
[tex]\[
81
\][/tex]
So, [tex]\((5+4)^2 = 81\)[/tex].
