A fairly transparent process. You start with an application, which is then followed up by a blanket behavioral and quantitative assessment. If your profile is moved forward, you then have to do a take-home case study-- it's primarily spreadsheet-based. If you have experience with formulas, it goes smoothly.
The actual Power Day itself is made up of a product interview and two case interviews in a randomized order. While behavioral interviews are not an advertised part of any of these, you will be expected to introduce yourself-- and communicate clearly. The cases are interviewer-led and are fairly numerical.
The product interview might throw those without any familiarity with UX or product management for a loop: just get really, really good at sizing up a product and how it might be improved.