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Divide the monomials and simplify.
\[
-\frac{9 z^{7} x^{4}}{7 z^{4}}
\]
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Answer

\(-\frac{9}{7} \cdot \frac{z^{7}}{z^{4}} \cdot x^{4} = -\frac{9}{7} \cdot z^{3} \cdot x^{4}\)

Steps

Step 1 ：\(-\frac{9 z^{7} x^{4}}{7 z^{4}} = -\frac{9}{7} \cdot \frac{z^{7}}{z^{4}} \cdot x^{4}\)

Step 2 ：\(\frac{z^{7}}{z^{4}} = z^{(7-4)} = z^{3}\)

Step 3 ：\(-\frac{9}{7} \cdot \frac{z^{7}}{z^{4}} \cdot x^{4} = -\frac{9}{7} \cdot z^{3} \cdot x^{4}\)