Exponents and unit digits

[user6702]

Hi,

I’d appreciate some clarification on this exercise from the practice video. The way to find the unit digit of the number is to take the same pattern/unit digit of the number for which 36 is a multiple (4 in this case). But 36 is also a multiple of 2 and 3. In which case one could choose 4 or 8 as the unit digit which would apparently be wrong. So is there a soundproof method for choosing which number in a case like this?

[vince]

Notice the pattern repeats every 4 numbers? Divide 36 by 4. Since there is no remainder, the 9th repetition of the 4-length pattern ended right there (on a 6).