When the Powerbutton on your Sony XB 01 is not working, this likely means one or more things as follows.
Sony XB 01 Power Button Not Working: Causes
Dead Battery. The internal battery is empty needs a recharge for continued speaker operation. Use a widely available USB charger to do this.
Faulty AC Adapter. The power adapter charger is defective. So replace it with a charger that delivers 5 volts, at 0.5 amps (2.5 watts).
Faulty Power Port. The micro USB input port for charging the speaker may be bent, corroded, or otherwise damaged, an often-seen on this model. Since these ports are often exposed to the elements since people sometimes forget to close them, then often corrode and stop working. So replace this if you have the necessary skills.
Bad Battery. That battery no longer recharges due to extreme age, repeatedly overcharging, very long storage, or heavy use. Replace the battery in this case with one that delivers 3.6 volts at 800 milliamp hours (2.88 watt-hours).
Dirty Button Panel. The button panel has sand, dirt, or other debris preventing the Powerbutton from making decent contact when you press it. For this, you can, if so skilled, clean the switches by disassembling the speaker, and blowing or brushing out the contact area.
Button Panel Has Failed. The switch panel is defective, and the solution here is to replace it. These parts are often available on eBay.
Faulty Speaker. Your speaker is broken beyond repair. If you determine this, then the best bet is just to get a new speaker.
The Sony XB 01, connected and charging.
Related Posts to Sony XB 01 Power Button Not Working