Zod and his gang did not have the same amount of powers that Superman did, since they were only on Earth for a short while and had only been absorbing the suns energy for a matter of hours. So Superman was more powerful, and obviously as the movie showed he was able to fully control his powers. Zod began finding about some of his powers during the battle, and was always at a disadvantage. He was willing to kill though, so that's the only thing he held over Superman... until the end obviously.
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