If y is divisible by the square of an even prime number and x is the actual square of an even prime number, then what is the units digit of x^y?
Select the correct option:
A) 0
B) 2
C) 4
D) 6
E) 8
even prime number is 2, and its square=4   thus y=4k ;k=1,2,3,,,,,   and x=4   x^y=4^4k; unit digit of 4 is 4 if its power is odd, else it is 6. now since 4k will always be even. therefore the unit digit of 4^4k will always be 6.;ANSWER:6
<result>D</result>
If y is divisible by the square of an even prime number and x is the actual square of an even prime number, then what is the units digit of x^y?