find remainder when (10^3+9^3)^1000 divided by 12^3  Options.
A) 0
B) 1
C) 2
D) 3
E) 4
(10^3+9^3)^1000 / 12^3   = 1729^1000 / 1728   =&gt; (1728*1+1)^1000 / 1728   =&gt; 1^1000 / 1728   =&gt; rem = 1   ANSWER:1
<result>B</result>
find remainder when (10^3+9^3)^1000 divided by 12^3