What is the units digit of 2222^(333)*3333^(222)?  Choose the correct choice from the following
A) 0
B) 2
C) 4
D) 6
E) 8
(2222^333)*(3333^222)=2222^111*(2222^222*3333^222)   here please pay attention to the fact that the unit digit of multiplication of 2222 and 3333 is 6 (2222^222*3333^222). since 6 powered in any number more than 0 results in 6 as a units digit, as a result we have-   6*2222^111   2 has a cycle of 4 . 111=27*4+3 . 2^3=8   6*8= 
<gadget id="calculator">6*8</gadget>
<output>48</output>
48   so the units digit is 8, and the answer is 8
<result>E</result>
What is the units digit of 2222^(333)*3333^(222)?