I was working through one of the MGMAT advanced problem set problem and came across yet another problem which could be quickly solved by recognizing that the units digit would follow a repeating pattern when raised to consecutive integer exponents. As I had seen this several other times, I decided to make a spreadsheet to test different combinations. I found that not only did every integer follow a pattern between 1 repeating and 4 repeating, but there were several other interesting patterns as well. I have included my findings below.
Units Digits.png [ 45.37 KiB | Viewed 542 times ]