The fan-out writes pattern in Firebase means writing the same data to multiple places in the database at once. This is done by creating an updates object with all target paths and data, then calling update() once. This ensures all writes happen together atomically, so either all succeed or none do. This keeps data consistent and allows faster reads from different parts of the app. The execution steps show preparing the updates, calling update(), writing to each location, and finally confirming success. Key points include why multiple writes are needed, atomicity of update(), and risks of separate writes. This pattern is important for keeping data synchronized and reliable.