Exporting a Video from Final Cut Pro

File > Export > QuickTime Conversion

Step 1;

- Make sure the timeline is selected

Step 2;

- Click on File > Export > Using QuickTime Conversion

Step 3;

- Change the title in the 'Save As' box to whatever you want to name your project

Step 4;

- Click on Options

Step 5;

- Click Video Settings and change the compression type to H.264 then click 'OK' 

Step 6;

- Click Sound Settings and change the format to AAC then click 'OK'

Step 7;

- Check the work is saving into the correct folder

Step 8;

- Click Save