A data analyst is modeling the growth of a database that increases by a factor of ${}4^{2x}$ and then by another factor of ${}4^x$. According to the Product Property for Exponents, which of the following is the simplified expression for the total growth factor?

A project manager is reviewing a technical report that includes the scaling expression ${}4^{2x} \cdot 4^x$. True or False: The simplified version of this expression is ${}4^{3x}$.

An infrastructure analyst is modeling network throughput using the scaling expression ${}4^{2x} \cdot 4^x$. Match each component of the simplified expression with its correct mathematical value based on the Product Property.

A logistics coordinator is calculating the projected growth of warehouse inventory, which is modeled by the expression ${}4^{2x} \cdot 4^x$. To simplify this expression into a single term with a base of 4, the coordinator must correctly combine the exponents. The simplified version of this expression is ____.

A telecommunications engineer is simplifying a signal amplification model represented by the expression ${}4^{2x} \cdot 4^x$. Arrange the following steps in the correct order to simplify this expression using the Product Property for Exponents.