Perform the indicated operation.

Answer: C
Step-by-step explanation:
If you look at the equation, you can see that you can cancel out a 9z³ on both sides. 9z³ is what both fractions have in common. This leaves us with 1 on the numerator on the first fraction and 2 for the denominator on the second fraction.
[tex]\frac{1}{16xy} *\frac{4x}{3}[/tex]
You can also cancel out 4x since both fractions have a 4x in common. This leaves the denominator of the first equation with 4y and the numerator of the second equation with 1.
[tex]\frac{1}{4y} *\frac{1}{3}[/tex]
Now, we can multiply straight across.
[tex]\frac{1}{12y}[/tex]