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.
We can rewrite this as: \(2^{2^{10}} \times 2^{3^{20}} \times 2^{4^{30}}\)
This can be rewritten as: \(2^{20} \times 2^{60} \times 2^{120}\)
Can you do it from here?
Remember that we add the exponents when we multiply.