A data analyst is calculating a performance ratio for a company report, which is represented by the expression $\frac{x^9}{x^7}$. According to the Quotient Property for Exponents, which of the following is the correct simplified form of this ratio?

A network engineer modeling server bandwidth scaling uses the ratio $\frac{3^{12}}{3^4}$. According to the Quotient Property for Exponents, the engineer should divide the exponents to simplify the expression to ${}3^3$.

A technical documentation specialist is auditing a series of mathematical expressions in a manual for manufacturing ratios. Match each of the following expressions or rules with its correctly simplified form according to the Quotient Property for Exponents.

A quality control technician is evaluating the efficiency ratio of two production cycles, which is represented by the expression $\frac{w^{15}}{w^6}$. According to the Quotient Property for Exponents, the technician simplifies this ratio to $w$ raised to the power of ____.

A project manager is simplifying a productivity ratio for a quarterly report, which is represented by the expression $\frac{p^{14}}{p^6}$. Arrange the following steps in the correct order to simplify this expression using the rules for exponents in a quotient.