Question

1. \\(\frac{3x^{2}y^{-2}}{6xy^{3}}\\)

Explanation:

Step1: Simplify coefficient fraction

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

Step2: Simplify $x$ terms (subtract exponents)

$x^{2-1} = x^{1} = x$

Step3: Simplify $y$ terms (subtract exponents)

$y^{-2-3} = y^{-5} = \frac{1}{y^5}$

Step4: Combine all simplified parts

$\frac{1}{2} \times x \times \frac{1}{y^5}$

Answer:

$\frac{x}{2y^5}$