If you have dropped the camera to cause this failure, you are going to need repairs by Casio.
Remove the memory card and try again.
If it now works, you have a defective memory card.
Otherwise....I would first suspect the battery.
That camera uses a 3.7 volt NP20 Lithium Ion battery.
Now charge the battery and try again.
If that does not help, you need to know the state of the battery.
You need a volt-meter to measure the DC voltage in the battery.
It should read 3.7 volts.
If you or a friend do not have a volt meter.....try this:
Take the battery to an electronic store (like Radio Shack) and see if you can get them to measure the voltage in the battery.
They may be willing to do that in hopes of selling you a new battery.
If the voltage is much below 3.7 volts, you have a bad battery (or in a rare case...a bad charger).
If the battery checks good, you have a failure in the camera itself.
Time to call Casio repair for help.
my casio ex-z60 camera's lens is stuck extended
and the camera wont turn on or off