What is the value of (4^2) + (5^2)?

To solve the expression (4^2) + (5^2), we begin by calculating each exponent separately.

First, we find 4^2, which means 4 multiplied by itself:

4 × 4 = 16.

Next, we calculate 5^2:

5 × 5 = 25.

Now, we combine these two results by adding them together:

16 (from 4^2) + 25 (from 5^2) = 41.

Thus, the value of (4^2) + (5^2) is 41, making this the correct answer. This reinforces the importance of following the order of operations and carefully executing each arithmetic step to arrive at the correct total.