Simplifying $\sqrt{\frac{50x^5y^3}{72x^4y}}$

An engineering technician is tasked with simplifying a technical specification modeled by the expression $\sqrt{\frac{18p^5q^7}{32pq^2}}$. Which of the following represents the correct simplified form of this expression for the final documentation?

A logistics coordinator is simplifying a freight cost formula involving the expression $\sqrt{\frac{18p^5q^7}{32pq^2}}$. Arrange the steps of the simplification process in the correct order according to the standard procedure.

A business operations manager is simplifying a performance metric formula containing the expression $\sqrt{\frac{18p^5q^7}{32pq^2}}$. According to the standard simplification procedure, the first step is to reduce the fraction within the radical. Match each part of the original fraction with its reduced form after this initial step.

Justifying Steps in Technical Calculations

A mechanical engineer is simplifying the expression $\sqrt{\frac{18p^5q^7}{32pq^2}}$ as part of a stress-strain analysis for a new alloy. Is it true that after the expression is fully simplified, the only term remaining under the square root symbol is the variable $q$?