My Sansa won't turn on or off

Does the device power up when plugged into your computer, but shuts off when unplugged?

If so, It’s likely a loose/broken connection from the battery to the device (internally). You didn’t say which Sansa player you have, but this was a very common issue on the original Clips (round scroll wheel), and some of the newer models as well (Clip+).

If this is the case, it is possible to open up the case and re-solder the connection. There are guides/instructions on how to do this online.