This is a classical No Power/No POST Issue on a laptop, you've gotta cover these ends: Battery, AC adapter and Laptop. (Strange, but battery could be messing it up)
Take battery out. Check if the 5 LED lights come up when pressing the test button (located on one of the corners that of the battery surface). That's for charge status. Then Hold it down for around 5sec. See how many lights come up, they will go off, and some might come back. That's performance. The more lights come back, the better the battery life expectancy is.
Test the AC adapter, reseat the power cord to the brick (the adapter itself) check its light when unplugged from the machine. Is it On? good. Is it bright? Does it flicker? bad. You will tell AC is fine.
Now, main test (if AC is fine, otherwise, swap with a known good one): Take the AC adapter plugged to the outlet, and now plug it to the wall. If the light on the Adapter goes off, we can tell there's a fried MB. Otherwise...
... Try to POWER it on, the three LED's above the keyboard (Num Lock, Caps Lock and Scroll Lock) will come up, perhaps they display a combination Flash On Flash, or On Flash Flash, etc. If available, reply with it to me.
If they don't, try FN+POWER, they should come up if there's power going thru... if they stay on, write down the combination, let it go, you might hear something... if you do, let it go, that's a hardware Test running, we could then tell there's a problem with the video (try an external monitor then). If not...
...you'll need to take all of the removable parts: Hard Drive (take the screws from the strike zone bottom corner area and pull the door out) Optical Drive (push the button on the corner of your disc player, and pull it out) RAM, Bluetooth, Modem and WLAN modules...
... Try to fire it up. Does the power indicator on the laptop light up? Do you see the LED LOCKS coming up w/a combination? If yes, then you have a bad component among the ones that are out. Try plugging one at a time, you might get to POST (pre-boot stage, initial hardware mode) and even booting. Otherwise, you might need another MB.