An inventory specialist is calculating the total volume of a new shipment of components for a tech company. The volume of a single component is represented by the expression (rac{2}{5}a^4b^3) cubic units, and there are $(15ab^3)$ components in the shipment. Which of the following expressions represents the simplified total volume of the shipment?

A manufacturing data analyst is configuring a script that multiplies a component's dimensional coefficient, modeled as $\left(\frac{2}{5}a^4b^3\right)$, by an expansion factor of $(15ab^3)$. To simplify this calculation correctly, the analyst must multiply the numerical coefficients, $\frac{2}{5}$ and 15, to get 6, and then multiply the exponents of the matching variables to yield $a^{4 \cdot 1}$ and $b^{3 \cdot 3}$.

A technician in a custom fabrication shop is calculating the total volume of a specialized coating needed for a project. The total volume is determined by multiplying the volume per unit, represented by $(\frac{2}{5}a^4b^3)$, by the number of units, $(15ab^3)$. Match each part of the multiplication process with its simplified result.

An industrial design team is calculating the total volume of a batch of components using the formula $(\frac{2}{5}a^4b^3)(15ab^3)$. Arrange the following steps in the correct order to simplify this expression.

Calculating Component Volume for Inventory