The problem you have shared is:

Simplify:
$10 - 50 + (7 - 2)^2$

Let's break it down step by step:

1. Simplify inside the parentheses first: $7 - 2 = 5$

2. Apply the exponent: $5^2 = 25$

3. Now substitute back into the expression: $10 - 50 + 25$

4. Perform the operations from left to right: $10 - 50 = -40$ $-40 + 25 = -15$

Thus, the simplified result is: $\boxed{-15}$

Would you like further details or have any questions?

Here are some related questions to deepen your understanding:

1. How would the result change if the exponent were higher, such as $(7 - 2)^3$?
2. What happens when parentheses are removed from the expression $10 - 50 + 7 - 2^2$?
3. How does changing the order of operations (like adding before subtracting) affect this equation?
4. What is the general rule for simplifying expressions with both exponents and parentheses?
5. Can you simplify a similar problem with negative numbers inside the parentheses?

Tip: Always remember to simplify inside parentheses first and handle exponents before moving on to addition and subtraction!