Question

$\frac{18w^{4}x^{9}}{14w^{5}x^{5}}$

Explanation:

Step1: Simplify coefficient

Simplify $\frac{18}{14}$ to $\frac{9}{7}$.
$\frac{18}{14}=\frac{9}{7}$

Step2: Use exponent - rule for division

For the $w$ terms, using the rule $\frac{a^m}{a^n}=a^{m - n}$, we have $\frac{w^4}{w^5}=w^{4 - 5}=w^{-1}=\frac{1}{w}$.
For the $x$ terms, $\frac{x^9}{x^5}=x^{9 - 5}=x^4$.

Step3: Combine results

Multiply the simplified coefficient and the simplified variable - terms: $\frac{9}{7}\times\frac{1}{w}\times x^4=\frac{9x^4}{7w}$.

Answer:

$\frac{9x^4}{7w}$