Question

Perform the indicated operation. 9z^3/16xy . 4x/27z^3

Answer 1

`(1)/(12y)`

Explanation:

This is a multiplication problem.

We want to multiply
`(9z^3)/(16xy)\cdot (4x)/(27z^3)`

We factor to get:

`(9z^3)/(4* 4xy)\cdot (4x)/(9* 3z^3)`

We now cancel out the common factors to get:

`(1)/(4* y)\cdot (1)/(1* 3)`

We now multiply the numerators and the denominators separately to get.

This simplifies to
`(1)/(12y)`

Therefore the simplified expression is
`(1)/(12y)`