How to turn on the Camera?

I called casio and they told me that when you have a red flashing light on the charger it means the lithium battery is no longer any good. They offered to send me one free of charge. It's been several weeks and I have yet to receive it.

did you get it wet? try to take the battwery out and plug in the charger the put the battery back in while the charger is connected

time for a replacement camera...as the repair wouldn't be to expensive to consider.  Use your wrist strap

I suggest you open the battery compartment and check the connections on the battery. It may be that they are a little dirty, preventing proper electrical connection, in which case you can clean them with a little cotton bud and perhaps some methylated spitits.

The cradle is defective.  Casio replaced the first one of mine for free then they told me to sit and spin when the second one broke 8 months later.  I had only used the camera ~ 10 times.  So, I went to a big box electonic store (Best Buy) and bought a Digipower travel charger.  It charged the battery up just fine.  I also bought a Dynex Memory Card Reader/Writer to transfer the photos to  my computer.  Good luck.  The defective cradle is a known problem that Casio is refusing to correct.

buy a new battery (DUH)

Try to remove the memory card and try powering it up again.

possibly with the usb cable but most likely you have to get the charger. http://www.amazon.com/Casio-Exilim-EX-Z75-Replacement-Battery/dp/B00125VCF4

Is the battery going in the right way?

I opened up mine today and found out that all you needed to do was put the plastic gear back into place and it's A ok. Open up the camera and when you're facing the front, check the little plastic compartment on the top right to see if the gears are in place. I fixed it and everything is A ok now. :)