What is the units digit in the expansion of 2 to the power of 727 ? 8 4 2 6

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units digit of a number is the rightmost digit of the number

use rule:

for xy : if y leaves non zero remainder r, when divided by 4,then

units digit of xy = lr (l is units digit of x)

we have: $3\equiv727(mod\ 4)$

then:

units digit is $2^3=8$

reference:

https://www.justquant.com/numbertheory/units-digit-of-a-number-raised-to-power/