Answer:
[tex]\frac{1}{12y}[/tex]
Step-by-step explanation:
This is a multiplication problem.
We want to multiply [tex]\frac{9z^3}{16xy}\cdot \frac{4x}{27z^3}[/tex]
We factor to get:
[tex]\frac{9z^3}{4\times 4xy}\cdot \frac{4x}{9\times 3z^3}[/tex]
We now cancel out the common factors to get:
[tex]\frac{1}{4\times y}\cdot \frac{1}{1\times 3}[/tex]
We now multiply the numerators and the denominators separately to get.
This simplifies to [tex]\frac{1}{12y}[/tex]
Therefore the simplified expression is [tex]\frac{1}{12y}[/tex]
