The Pi Zero only has a single activity status LED. There is no power LED.
On both the Zero and Zero W the Activity LED is on GPIO Pin 47, the same as
the A+/B+/2B but different to the original A and B models (which are on GPIO pin 16).
The only other difference for the Zero/ZeroW is that you clear the pin to turn
the LED on (and set the pin to turn the LED off) which is opposite to the A+/B+/2B.