In a professional data modeling task, you are required to simplify the expression ${}3p^5 \cdot 4p$ to optimize a formula. Arrange the following steps in the correct order to arrive at the simplified result using the Product Property for Exponents.

A project analyst is optimizing a formula used in a resource allocation model: ${}3p^5 \cdot 4p$. When simplifying this expression by combining the coefficients and using the Product Property for Exponents, what is the correct simplified form?

A data analyst is simplifying a growth model represented by the expression ${}3p^5 \cdot 4p$. To ensure the formula is optimized correctly, match each component of the simplification process with its corresponding numerical value.

A quality control technician is verifying a formula for a product's lifespan, which includes the expression ${}3p^5 \cdot 4p$. True or False: According to the Product Property for Exponents, the simplified form of this expression is ${}12p^6$.

Inventory Growth Formula Simplification

Analyzing an Error in a Production Formula

A supply chain analyst is updating a forecasting model. A formula in the spreadsheet contains the expression ${}3p^5 \cdot 4p$. To streamline the model, the analyst must simplify this into a single term. By multiplying the numerical coefficients and adding the exponents of the variables, the resulting simplified expression entered into the spreadsheet is ____.