You can go all the way back to TOS for this. Nomad hit the Enterprise with a bolt equal to "90 photon torpedoes." It is simply nonsense to have any vessel survive a hit 90 times more powerful than one of its primary weapon systems.
Why would it be nonsense? Some ships have always been built with the philosophy that they can dish out far more than they can take, and others so that they can receive far more punishment than they can give. Large ships typically fall in the latter category, small ones in the former, certain exotic things like British battle cruisers excepted.
And we're talking about dissimilar combat here anyway. A ship of the line from the 18th century would certainly expect to survive ninety of her own cannonballs, but would still expect a single one of them to make short work of a raft one meter on the side - a pretty good analogy for the situation in "The Changeling".
Anyone else think NARADA seemed a lot like the scimitar ("shes a predator") from STN?
I rather thought of her as a rig largely unsuited for combat of any kind, least of all predating - yet surviving in that role through sheer stubbornness and robustness, much like Nero himself. Take a drilling rig of, say, the 1980s, bolt all sorts of makeshift 20th century weapons on it, add a few pieces of state of the art weaponry from the black markets, and pit it against a late 19th century battlefleet. The bulk of the drilling rig would keep her in combat a long time, while a sufficient number of light weapons would eventually reduce the 1880s armored battleships and cruisers to scrap.
Now make that analogy even better by giving the drilling rig a cache of tactical nukes pilfered from some well-meaning geologist who tried to stop a volcano from erupting. The 1880s ships would stand no chance at all.
Timo Saloniemi