Let's solve the expression step by step:

Given expression: 

\[
3 \cdot (7 + 7 - \frac{5}{5})^2
\]

1. **Start inside the parentheses**:
   \[
   7 + 7 - \frac{5}{5}
   \]

2. **Divide \(5\) by \(5\)**:
   \[
   \frac{5}{5} = 1
   \]
   Now the expression inside the parentheses becomes:
   \[
   7 + 7 - 1
   \]

3. **Add and subtract within the parentheses**:
   \[
   7 + 7 = 14
   \]
   \[
   14 - 1 = 13
   \]
   So, the expression simplifies to:
   \[
   3 \cdot (13)^2
   \]

4. **Square the value inside the parentheses**:
   \[
   13^2 = 169
   \]
   So the expression now is:
   \[
   3 \cdot 169
   \]

5. **Multiply**:
   \[
   3 \cdot 169 = 507
   \]

The final answer is:

\[
507
\]

Would you like more details on any step, or do you have any questions?

Here are some related questions for further practice:

1. How would you simplify \(4 \cdot (6 + 3 \div 3)^2\)?
2. What is the value of \(2 \cdot (10 - 2 \cdot 3)^2\)?
3. If you have \(5 \cdot (8 + 2 - \frac{16}{4})^3\), what is the result?
4. How would you evaluate \(7 \cdot (4 + 6 \div 2 - 1)^2\)?
5. What happens when you calculate \(2 \cdot (9 + 1 \div 1 - 2)^2\)?

**Tip:** When simplifying expressions, always start by working inside the parentheses and follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Learn how to solve the expression 3*(7+7-5/5)^2 step-by-step with detailed explanations. This problem covers basic arithmetic operations, including parentheses, exponents, multiplication, and division. Suitable for students in Grades 7-9.

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