Final answer:
To divide the expression (16zy-9z²y⁴) by (-2z²y⁴), simplify each term individually by dividing, then combine the results.
Step-by-step explanation:
To divide the expression (16zy-9z²y⁴) by (-2z²y⁴), we can simplify the expression by dividing each term individually.
First, we divide 16zy by -2z², which cancels out the z terms and gives us -8y.
Then, we divide -9z²y⁴ by -2z²y⁴, which cancels out the y⁴ terms and gives us 4.
Putting it together, the simplified answer is -8y + 4.