(I wanted to give my answer, if mods are disatisfied with bumping a thread, sowwy)
So, 300 Reapers attacking a Federation Sector. Lets assume it's earth, cause Earth is always so special.
In the Sol System, the Federation 7th Fleet is permanently stationed there, along with Starbase 01 and the Mars Defense Perimeter (Assuming late TNG/Ds9 era here). In addition, you have ground based defenses on Earth itself, mostly concentrated at Starfleet Headquaters.
Now, I'm assuming since this in STverse, the Reapers do not have access to Mass Relays. Therefore, they must work their way inwards towards Earth. Even starting at Pluto, it's going to take at least an hour for them to reach Earth, which will give the Fed plenty of warning of an incoming attack. Star Trek sensors are massively superior to anything in Mass Effect.
The Reapers main weapon is a stream of molten slag, with an explosive force of about 430 Kilotons, or 40. times the exlposive force of the atom bomb dropped on Hiroshima. As we've seen in Mass Effect, they can cut through even Asari ships with absolutely no effort.
Now, a standard issue photon torpedo is rated for a maximum yeild of 20 Isotons, or, to put another way, it is capable of excerting about 2000 Megatons of explosive force. In Voyager, Harry Wang and Tuvok modifiy a torpedo for a 70 Isoton yeild, which is said to be enough to blow up a small moon. No where in Mass Effect have I ever seen the Reapers ever put out anywhere near that kind of firepower, whereas with starfleet, this appears to be a simple mod on standard issue weapons that was accomplished in a single afternoon by the single most incompetent science officer to ever serve in the history of Starfleet, and Tuvok, the grand pimp daddy of the Delta Quadrent.
Also, since I'm using the seventh fleet, it's important to note that the Enterprise-E is the flagship of that fleet. The Enterprise carries a magazine of quantum torpedos, which is said to be so powerful that a single torpedo can turn an entire planet into a pile of molten slag. Now, there has never been any on screen feats for that, but we did see that a single qauntum was enough to blow apart a Borg Sphere, and it only took 3 to do the same to a cube (granted, with the help of 20 odd other ships). I highly doubt Reaper Slag would do much more then put a few burn marks on the Borg Paint.
So yeah, weapons, quite simply is: Starfleet >>>>>>>>>(x-infinity) Reapers.
Now, defenses. Pretty much all Mass Effect ships use Kinetic Barriers as shields. The way these are described in lore leads me to assume they operate similar to federation navigational deflectors, in that they use energy to deflect the kenetic energy of incoming projectiles. Now, the Reaper's main gun is enough to cut through these barriers with ease. Since they are firing Molten Slag at about 5% the speed of light, I have to assume they have a temperature of at least 1510 degrees C. So they overwhelm it with heat and force.
Starfleet shields are designed to survive entry for brief periods into the corona of yellow stars, which raidiate at 5000 degrees celcius. So heat is no issue. They are also capable of surviving the explosive force of those 20 isoton photon torpedos, so I'd suspect they'd eaisly deflect the Reapers main guns. Granted, a concentrated force of 300 reapers firing on say, 10 star fleet ships might overwhelm a few shields, but I doubt the Reapers will get that far.
Basically, for the Tl;DR Crowd, The Reapers get MURDERstomped. They are so outclassed that all they can do is run.
Now granted, I don't think the Feds have any immediate counter to indoctrination. So if the Reapers were smart, they'd send in one or two, hide in the moon, and slowly take over Key Starfleet Admirals and Scientists, study the tech, and prepare a good attack that way.
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