You can put this solution on YOUR website! To solve a question like this, one looks at of powers and a of .
.................unit's dig. ...............unit's dig. ..............unit's dig. .............unit's dig. ...pattern:,,, ............ ........... ........... ...........pattern is repeating ...... ..... ..... ......pattern is repeating
So the unit's digits of powers of follow a cycle of length : ,,, ... ...
so let's find the remainder when we divide by :
Since the remainder is , and has the same unit's digit as , which is .
