https://file.aiquickdraw.com/mathbot/file/1726012429247k028x15o.jpg

The image shows the expression:  
\[ 6(2 + 6)^2 \]

### Let's break this down step-by-step:

1. **First, simplify inside the parentheses:**
   \[ 2 + 6 = 8 \]

2. **Now, square the result:**
   \[ 8^2 = 64 \]

3. **Finally, multiply by 6:**
   \[ 6 \times 64 = 384 \]

### Final Answer:
The value of \( 6(2 + 6)^2 \) is \( 384 \).

Would you like more details or have any questions?

Here are 5 related questions to explore this further:
1. What is the order of operations (PEMDAS) and how does it apply here?
2. How would the result change if we squared before adding in this expression?
3. Can parentheses affect the evaluation of mathematical expressions?
4. What are the properties of exponents and how do they influence calculations?
5. What happens if we replace the 6 with a variable and solve for that?

**Tip:** Always perform operations inside parentheses first to avoid errors in solving expressions.

Learn how to evaluate the expression 6(2 + 6)^2 by following the order of operations (PEMDAS). Step-by-step explanation includes simplifying parentheses, applying exponents, and performing multiplication. Suitable for students in Grades 6-8.

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