6. Simplify $$ \left(18 x^{3} y z\right) /\left(6 x y^{4}\right) $$

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1. Start with the expression:
   $$
   \frac{18x^3yz}{6xy^4}
   $$

2. Simplify the numerical coefficient:
   $$
   \frac{18}{6} = 3
   $$

3. Simplify the $$ x $$-terms:
   $$
   \frac{x^3}{x} = x^{3-1} = x^2
   $$

4. Simplify the $$ y $$-terms:
   $$
   \frac{y}{y^4} = y^{1-4} = y^{-3} = \frac{1}{y^3}
   $$

5. The $$ z $$-term remains as $$ z $$.

6. Combine all the simplified parts:
   $$
   \frac{18x^3yz}{6xy^4} = 3 \cdot x^2 \cdot z \cdot \frac{1}{y^3} = \frac{3x^2z}{y^3}
   $$
$$ \frac{3x^2z}{y^3} $$

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