The answer to the operation is as follows:
5^(2) + 1^(2) = 5*5 + 1*1 = 25 + 1 = 26.
Here, we have to remember PEMDAS. First, we solve parentheses, then exponents (or exponentiation operations); then, multiplications, divisions, and, after all this, addition and subtractions.
In the above operation, we solve first the raising of 5 to 2, then 1 raised to 2. We sum the result of both operations. So the value of 36 is not correct. The correct value is 26.