Sure, let's break down the expression [tex]\((2^2) + (6+3) - 4\)[/tex] step-by-step.
1. Exponentiation: The first part of the expression involves exponentiation. We calculate [tex]\(2^2\)[/tex], which means 2 raised to the power of 2.
[tex]\[
2^2 = 2 \times 2 = 4
\][/tex]
2. Addition in Parentheses: Next, we compute the addition within the parentheses [tex]\((6 + 3)\)[/tex].
[tex]\[
6 + 3 = 9
\][/tex]
3. First Addition: Now, we add the results from the first two steps together.
[tex]\[
4 + 9 = 13
\][/tex]
4. Subtraction: Finally, we subtract 4 from the result of the addition.
[tex]\[
13 - 4 = 9
\][/tex]
Therefore, the detailed solution of [tex]\((2^2) + (6+3) - 4\)[/tex] results in:
[tex]\[
\boxed{9}
\][/tex]