I am going to interprete this differently Chris. [ Plus 2*8=16 LOL ]
we count in base 10 so we use 10 digits that is 0,1,2,3,4,5,6,7,8,9 the next on is 10 etc
if we were counting in base 4 the numbers would be 0,1,2,3,10,11,12,13,20,21,22,23,30,31,32,33,100, etc
$$\\16^8=(4^2)^8=4^{16}\\\\$$
If we write this base 10 number as a base 4 number then the answer is
10,000,000,000,000,000 that is a 1 followed by 16 zeros - base 4