Question

question
fully simplify using only positive exponents.
\\(\frac{2x^{4}y^{7}}{x^{6}y^{7}}\\)

Explanation:

Step1: Cancel common $y$-terms

The $y^7$ terms in numerator and denominator cancel out:
$\frac{2x^4y^7}{x^6y^7} = \frac{2x^4}{x^6}$

Step2: Simplify $x$-terms via exponent rule

Use $\frac{x^a}{x^b}=x^{a-b}$, then rewrite negative exponent as positive:
$\frac{2x^4}{x^6} = 2x^{4-6} = 2x^{-2} = \frac{2}{x^2}$

Answer:

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