Power to plug but nothing works
Based on a few decades of replacing fuses in multimeters blown by students, you are attempting to measure the wrong thing (or slight possibility these days that you have a very poorly made cheap meter that does not function correctly, but really, slight .vs. applying the meter incorrectly.)

Typical cause is attempting to measure amperage in a manner that makes the meter a short-circuit until its fuse blows.

Amperage is only measured in series with a load. Voltage is measured in parallel with a load. Power requires measuring both, and is most easily achieved with a purpose-built plug-in power meter that can measure both at once, and can't be hooked up wrong.