Simplify.

left parenthesis 7 plus 5 squared right parenthesis divided by 8 times 3 squared7+52÷8•32

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Part 1

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.




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.

Simplify the expression (7 + 5^2) ÷ 8 × 3^2 using the order of operations (PEMDAS). Learn how to handle exponents, division, and multiplication step by step. Suitable for students in Grades 6-8.

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