Divide the sum of

$\frac{6 x^{3} y^{2} z^{2}}{3 x^{2} y z}$

$=\frac{6 \times x \times x \times x \times y \times y \times z \times z}{3 \times x \times x \times y \times z}$

$=2 x^{(3-2)} y^{(2-1)} z^{(2-1)}$

$=2 x y z$