Let's break down the given expression and simplify it step by step.

The expression is:

$\frac{(7 + 5^2)}{8} \cdot 3^2$

Step 1: Simplify inside the parentheses

First, evaluate $5^2$: $5^2 = 25$ So, the expression becomes: $\frac{(7 + 25)}{8} \cdot 3^2$

Now simplify $7 + 25$: $7 + 25 = 32$ The expression is now: $\frac{32}{8} \cdot 3^2$

Step 2: Simplify division

Now, divide $32$ by $8$: $\frac{32}{8} = 4$ So, the expression becomes: $4 \cdot 3^2$

Step 3: Simplify the exponent

Evaluate $3^2$: $3^2 = 9$ Now, the expression becomes: $4 \cdot 9 = 36$

Final Answer:

The simplified expression is $36$.

Let me know if you need more details or have any questions! Here are some related questions to try:

1. Simplify $\frac{(8 + 3^2)}{4} \cdot 5^2$.
2. Simplify $\frac{(10 + 6^2)}{5} \cdot 2^2$.
3. Simplify $\frac{(9 + 4^2)}{7} \cdot 3^3$.
4. Simplify $\frac{(12 + 2^3)}{6} \cdot 4^2$.
5. Simplify $\frac{(11 + 5^2)}{9} \cdot 2^3$.

Tip: Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when simplifying expressions.