(2pq^2)^2(pq^2)^4

To simplify the expression, we first expand the terms inside the parentheses:

(2pq^2)^2 = 4p^2q^4
and
(pq^2)^4 = p^4q^8

Now we multiply these two terms together:

4p^2q^4 * p^4q^8
= 4 * p^(2+4) * q^(4+8)
= 4 * p^6 * q^12
= 4p^6q^12

Therefore, (2pq^2)^2(pq^2)^4 simplifies to 4p^6q^12.