A technical designer is simplifying the expression $\sqrt{\frac{50x^5y^3}{72x^4y}}$ to optimize a mathematical model for a piece of software. Arrange the following steps in the correct order to simplify this expression according to the standard procedure.

An engineering technician is calculating a scaling factor using the expression $\sqrt{\frac{50x^5y^3}{72x^4y}}$. According to the standard procedure for simplifying a radical expression containing a fraction, what is the very first step the technician should recall and perform?

A laboratory technician is simplifying the mathematical model $\sqrt{\frac{50x^5y^3}{72x^4y}}$ to analyze data from a chemical reaction. Match each component of the fraction inside the radical with its correct simplified form after the first step of reduction.

A technical data analyst is simplifying the expression $\sqrt{\frac{50x^5y^3}{72x^4y}}$ for a project report. True or False: According to the Quotient Property of Radical Expressions, after the fraction inside the radical has been reduced, the next step is to rewrite the expression as the quotient of two separate radicals: $\frac{\sqrt{25xy^2}}{\sqrt{36}}$.

An architectural drafter is simplifying the expression $\sqrt{\frac{50x^5y^3}{72x^4y}}$ for a structural design calculation. According to the standard simplification procedure, after reducing the fraction inside the radical by dividing the coefficients 50 and 72 by their common factor of 2, the numerical value that remains in the denominator position under the radical is ____.

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