Answer: 2x^3y^4
Step-by-step explanation:
The expression ^4√16x^12y^16 can be simplified as follows:
^4√16 = 2, since 2^4 = 16
x^12 can be written as (x^3)^4, and ^4√(x^3)^4 = x^3
y^16 can be written as (y^4)^4, and ^4√(y^4)^4 = y^4
Therefore, ^4√16x^12y^16 simplifies to:
2x^3y^4