Question

ules. show all wor\\(
\frac{4x^{5}}{2x^{7}}\\)

Explanation:

Step1: Simplify the coefficient

Divide the coefficient 4 by 2.
$\frac{4}{2} = 2$

Step2: Simplify the variable term

Use the rule of exponents $ \frac{x^m}{x^n}=x^{m - n} $ for $ x
eq0 $, here $ m = 5 $ and $ n=7 $.
$ \frac{x^{5}}{x^{7}}=x^{5 - 7}=x^{- 2}=\frac{1}{x^{2}} $ (using the rule $ x^{-a}=\frac{1}{x^{a}} $ for $ x
eq0 $)

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable term.
$ 2\times\frac{1}{x^{2}}=\frac{2}{x^{2}} $

Answer:

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