What is the remainder when $$35^{29}$$​ is divided by 10?

The number is $$35^{29}$$​ is divided by 10.

The remainder when a number is divided by 10 is determined by the last digit of the number.

​$$35^1 = 35 (units digit: 5)\\35^2 = 1225 (units digit: 5)\\35^3 = 42875 (units digit: 5)\\$$​​

And so on...
As we can see, the units digit of 35ⁿ is always 5, regardless of the value of n.
Now, when we divide any number with a units digit of 5 by 10, the remainder is always 5.
Therefore, the remainder when 35²⁹ is divided by 10 is (a) 5. ​​​