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Try cleaning the terminals in the battery compartment, after removing the batteries, first by rubbing off with a fresh pencil eraser, then by wiping the terminals off with cotton swabs moistened in rubbing alcohol, then letting them dry off for 5+ minutes with the battery compartment door open, then try turning the camera On again.
Is there any sign of a problem when you look into the battery compartment? a problem that happened before but which was temporary, is one that might be owing to a loose connection, breakage, loose wire or debris, etc. So looking into the battery compartment is advisable.
Let me know what happens, and what you find out.
Also, let me know please: How old is your camera?
Does the camera still show not signs of life at all?
Has the camera been dropped or otherwise subjected to mechanical shock(s) in its lifetime?
Has the camera been operated in or subjected to, temperatures below 32 degrees F (freezing point) or above about 100 degrees F ?
Has it ever been subjected to a humidity higher than 85 % or gotten wet ?
Has the camera been operated in a gritty or sandy environment, such as a beach, a seaside, a construction site, or the like?
Dropping a camera usually damages it fairly soon. If not, then it has been weakened and will fail by and by.
The camera will require repair, for sure.
Do you need instructions on getting it to a local shop that fixes these types of Canon camera?
Or, how to get in touch with Canon Repair ?
(If you dropped it, then it may have voided its warranty, by the way. Even if it is under 1 year old... I'm sorry to say, but that may be how it goes.)
1-800-OK-CANON is the number to call to engage Canon Repair... you can ask them for an estimate on the repair before committing to it being repaired.
There is also UnitedCamera, and PrecisionCamera, which have websites by that name, and most probably offer an estimate on the cost of repairing this model of camera.
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