Today's concept falls into the category of "easier than it looks." It is based upon the idea that any number raised to an exponent has the same units digit as the original number's units digit raised to the same exponent. Instead of calculating the expression, the student needs to identify a pattern of the units digits of sequential powers of the number. This concept appeared 10 times last year, with a median placement at question # 47.
Number Dojo Level: TBD
To visualize how to solve these problems, let's take a look at the first few exponents of each number. Pay attention to the units digits--and the pattern they create: