Question

only positive exponents.
\frac{3x^{3}y^{6}}{6xy^{3}}

Explanation:

Step1: Simplify the coefficient

Simplify the fraction of the coefficients $\frac{3}{6}$.
$\frac{3}{6}=\frac{1}{2}$

Step2: Simplify the x - terms

Use the quotient rule of exponents $a^m\div a^n=a^{m - n}$ for $x^3\div x^1$.
$x^{3-1}=x^2$

Step3: Simplify the y - terms

Use the quotient rule of exponents $a^m\div a^n=a^{m - n}$ for $y^6\div y^3$.
$y^{6 - 3}=y^3$

Step4: Combine the results

Multiply the simplified coefficient, x - term, and y - term together.
$\frac{1}{2}\times x^2\times y^3=\frac{x^2y^3}{2}$

Answer:

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