Find the ones digit of 73^300 Choices:
A) 3 B) 5 C) 6 D) 7 E) 10
Cyclicity of 3 is 3,9,7,1after 4 multiplication again the cycle repeats.   So divide 330 by 4 and we get 87 as quotient and 2 as remainder. So cycle will run for 87 times and then 2 times more. So pick up the 2nd item from the cycle.   Hence Answer 10.
<result>E</result>
Find the ones digit of 73^300