Answer:
[tex] = \frac{ 3}{2} {x}^{3} [/tex]
Step-by-step explanation:
[tex]6 {x}^{2} \div 4x \\ \frac{6}{4} {x}^{2} ( x) \\ simplify \: with \: factor \: 2 \\ \frac{3}{2} {x}^{2} (x) = \frac{3}{2} {x}^{2} ( {x}^{1} ) \\ \frac{3}{2} {x}^{2 + 1} [/tex]
[tex]\boxed{Answer:{\boxed{\green{ = \frac{ 3}{2} {x}^{3}}}}} [/tex]