Roland Johansen
Deity
Why was my fully healthy level 5 modern armor beaten by a fricking axeman?
Because in Civization combat results are determined by random numbers so that a slight edge in technology doesn't mean that you always win in combat. So a strength 10 unit can win against a strength 12 unit. It just has less than 50% chance.
As the strength difference between combatants increases, the odds that the stronger one wins increases dramatically. If the strength difference starts to become as huge as you describe, then the odds of losing such a battle approach the odds to win the lottery. But just as there are people who win the lottery, there are people who lose at such odds. You were the lucky winner!

Whats the deal witht he differant speeds? Epic, Normal and Quick? I would just check the manual, but I lost. I originally bought this game the it came out, but my graphics card could not handle it, I finally got one that could and just loaded it. However, 3 moves later it have disappered.
At epic speed the amount of change per turn is smaller, you will build a smaller percentage of a building, you will research a lower percentage of a technology and you will get a smaller fraction of the amount of food that is needed to grow a city per turn. But there are more turns in the game.
At quick speed things are just opposite, you get larger fractions per turn, but there are less turns in a game.
At normal speed, things are normal.
This means that at epic speed, you'll have more moments that you can intervene and change stuff, but each change matters less. At quick speed, you'll have less moments that you can intervene and change stuff, but each change matters more.
The main constant is the movement speed of units, it's the same at every game speed. This means that units move relatively quickly at epic speed and relatively slow at quick speed. It also means that there is more time to wage a war at epic speed as other elements of the game move relatively slower while you're waging a war. At quick speed, the rest of the game moves at lightning speed while you're waging a war.
I don't understand the rest of your post.