Question

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

Explanation:

Step1: Simplify the coefficient

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

Step2: Simplify $x$ terms

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

Step3: Simplify $y$ terms

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

Step4: Combine all simplified parts

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

Answer:

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