What do axes and degrees of freedom mean in a robotic arm?

An axis is an independently controlled movement, such as joint rotation or linear travel. Degrees of freedom describe the independent motions available to position a mechanism. For a tool in three-dimensional space, position requires three coordinates and orientation can require three more. This is why six-axis arms are common for versatile industrial manipulation.
What this means in practice
More axes do not automatically improve a process. Additional joints can provide alternative postures or access around obstacles, but they also introduce motion-planning and integration considerations. An external linear rail or rotary positioner may add movement to the system without being a joint inside the arm.
Position, orientation, and redundancy
A tool pose combines its location with its orientation. Positioning a box above a conveyor is different from orienting a nozzle inside an angled opening. Even when a robot has enough axes in principle, joint limits and surrounding obstacles can prevent a specific pose from being useful.
Redundancy provides additional ways to reach a pose rather than automatically increasing accuracy or payload. Those alternative postures can help avoid obstacles, but they need suitable planning. Define which orientations must be controlled throughout the path and which can vary; this makes the required motion capability much clearer.
Key points
Four-axis systems can suit tasks with limited orientation requirements.
Six-axis arms can position and orient a tool through many working postures.
A seventh axis can offer redundancy or extend the system, depending on its design.
Practical example and next step
Count the required motions first. A palletizing task may need fewer orientation changes than welding a complex component. Ask whether the quoted axis count includes external equipment and whether the controller coordinates it with the arm.