Question

(\frac{3x^{3}y^{6}}{6xy^{3}})

Explanation:

Step1: Simplify the coefficients

$\frac{3}{6} = \frac{1}{2}$

Step2: Simplify the $x$-terms

$\frac{x^3}{x} = x^{3-1} = x^2$

Step3: Simplify the $y$-terms

$\frac{y^6}{y^3} = y^{6-3} = y^3$

Step4: Combine all simplified parts

Multiply the results from Steps 1-3 together.

Answer:

$\frac{1}{2}x^2y^3$