Example of Expanding $a^m$ and $(-9)^5$

A logistics coordinator is documenting the volume of a standard shipping container, which is expressed as $s^3$ in the company's inventory system. To ensure clarity for the loading crew, the coordinator writes this volume in expanded notation. Which of the following is the correct expanded notation for $s^3$?

A logistics manager is documenting the volume of a cubic shipping container, which is recorded in the company database as ${}5^3$ cubic feet. True or False: If the manager is asked to provide this value in expanded notation, they should represent it as ${}5 + 5 + 5$.

A manufacturing technician is calibrating a machine where power and voltage settings are documented using exponential values. To ensure clarity during safety inspections, these settings must sometimes be recorded in expanded notation. Match the following exponential settings with their equivalent expanded forms.

Standardizing Warehouse Inventory Notation

An inventory specialist is calculating the storage capacity of a cubic warehouse section with side length $y$. On the manual audit sheet, they write out the volume calculation explicitly as $y \cdot y \cdot y$ rather than using an exponent. The practice of writing an expression involving exponents out explicitly as the repeated multiplication of its base is known as ________ notation.

Explaining Expanded Notation to a Trainee

A quality control technician at an electronics manufacturing plant is training a new operator to document power settings on manual inspection sheets. While the digital panel displays setting values using exponential notation (such as $P^3$), the paper audit sheets require operators to write these settings explicitly as repeated multiplication in expanded notation to prevent calculation errors. To help the trainee understand how to convert any exponential setting into expanded notation, the technician outlines a step-by-step procedure. Arrange these steps in the correct chronological order from start to finish.