If 71^83+73^83 is divided by 36, then remainder is :

71⁸³ + 73⁸³

If n is odd number, Then, xⁿ + aⁿ is always divisible by (x + a)

According to the question

71⁸³ + 73⁸³

Here, n = odd number = 83

So,  (x + a) = (71 + 73)  = 144

Now,

When 144 is divided by 36, we get remainder = 0