What is the value of 4^(10)*8^(20)*16^(30)? Express your answer in the form a^b, where a and b are positive integers such that a is the least possible positive integer.
4^(10)*8^(20)*16^(30)
\(4^{10}*8^{20}*16^{30}\\ =2^{2*10}*2^{3*20}*2^{4*30}\\ =\)
Now add the indices
4^(10)*8^(20)*16^(30) ==2^200