Well if bardock was ssj, you'd need to count the chilled filler.
Considering a Zenkai can boost a saiyan's power by any amount, i'll assume since it would of been fatal.
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Bardock in his base form has a power level of 10,000 (might be more after this due to Zenkai), which means that as a Super Saiyan, his power would multiply 50x and thus become 500,000 or more. At this level, which is less than First Frieza Frieza's 530,000, Super Saiyan Bardock's power is more than enough to overwhelm Chilled.
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So, A little bit more training yeah.