Divide.
\[
\left(28 z^{6} y^{7}-16 z^{4} y-7 z^{4} y^{5}\right) \div\left(-4 z^{3} y^{4}\right)
\]

Simplify your answer as much as possible.

Answer

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Answer

\[\boxed{-7 z^{3} y^{3} + 4 z y^{-3} + \frac{7}{4} z y}\]

Steps

Step 1 ：\[\frac{28 z^{6} y^{7}}{-4 z^{3} y^{4}} = -7 z^{3} y^{3}\]

Step 2 ：\[\frac{-16 z^{4} y}{-4 z^{3} y^{4}} = 4 z y^{-3}\]

Step 3 ：\[\frac{-7 z^{4} y^{5}}{-4 z^{3} y^{4}} = \frac{7}{4} z y\]

Step 4 ：\[\boxed{-7 z^{3} y^{3} + 4 z y^{-3} + \frac{7}{4} z y}\]