If n=10^100and n^n=10k what is the value of k?  Select the correct option:
A) 200
B) 10^100
C) 10^102
D) 100^100
E) 1000^10
There is a simple logic to this question.   (a^m)^n = a^mn   So, (10^100)^(10^100) = 10^(100*(10^100))   = 10^((10^2)*(10^100))   = 10^(10^102)   and this equals 10^k   So, k = 10^102   ANSWER:10^102
<result>C</result>
If n=10^100and n^n=10k what is the value of k?