Let's solve the problem step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):

The expression is: $13 + (2^2 \times 7) - 10$

Step 1: Solve the exponent

$2^2 = 4$ The expression becomes: $13 + (4 \times 7) - 10$

Step 2: Perform multiplication inside the parentheses

$4 \times 7 = 28$ The expression becomes: $13 + 28 - 10$

Step 3: Perform addition and subtraction from left to right

1. $13 + 28 = 41$
2. $41 - 10 = 31$

Final Answer:

$\boxed{31}$

Would you like further clarification on any of these steps?

Related Questions:

1. What is the importance of the order of operations in simplifying expressions?
2. How would the result change if subtraction came before addition in this problem?
3. How do parentheses affect calculations in expressions with multiple operations?
4. Can you identify a situation where changing the order of operations gives a different answer?
5. How do you solve expressions without parentheses but still follow PEMDAS?

Tip:

Always evaluate expressions inside parentheses first and pay attention to exponents before moving on to multiplication or division!