What is the remainder when 13^17 +17^13 is divided by 10

Cant solve this math or understand this. Can anyone explain easily ?

is the answer 0?

yes its 0 but I need to know the explanation

simple, when you keep multiplying 13x13 you can see the pattern that the numbers end with 3 9 7 1 and 3 9 7 1 so the end at 17th position you see the number 3 comes
similarly, with 17 multiplying 17 times you find the pattern 7 9 3 1 and at 13th position you find number 7 so, just imagine at large scale when you adding this numbers ending with 7 and 3 you get 10 where ones digit is 0 which is divisible by 10 and hence the number is divisible you can say that the remainder is 0.

The question can be simplified to what is the reminder when 3^{17} + 7^{13} . Now, you need to know cyclicity in-order to solve these type of questions