Question

simplify.
\\(\frac{7x^5y^2}{42x^4y}\\)

Explanation:

Step1: Simplify constant coefficients

$\frac{7}{42} = \frac{1}{6}$

Step2: Simplify $x$-terms using exponent rule

$\frac{x^5}{x^4} = x^{5-4} = x$

Step3: Simplify $y$-terms using exponent rule

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

Step4: Combine all simplified parts

$\frac{1}{6} \times x \times y$

Answer:

$\frac{xy}{6}$