Final answer:
The sum of 5^2 and 3^2 is 34, which is not presented in the options a) 4^2, b) 8^2, c) 9^2, or d) 2^2.
Step-by-step explanation:
The question is asking to find the unknown sum of two exponentiated numbers. Specifically, it asks for the sum when the nest has 52 (which is 25) written on it and the bird shows 32 (which is 9). To find the sum, we add these two values together:
52 + 32 = 25 + 9 = 34
Now, we need to find which of the provided options (a) 42, (b) 82, (c) 92, (d) 22, is equal to 34. Since 42 = 16, 82 = 64, 92 = 81, and 22 = 4, none of these are equal to 34. Therefore, the given options do not contain the correct answer to the sum of 52 and 32.