Hypothetically giving both sides the same equipment renders the original question useless. Hell, Vikings and Spartans could fare well vs. a modern day Abrams crew if they had the same equipment and training. But then they'd be neither Vikings nor Spartans, wouldn't they?
The original question gives no such advantage to either side:
Quote:
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If, at the height of both their powers, the Spartans and the Vikings were to meet on a battle field, on even terms (same number of troops, and an open, no terrain advantage battlefield) Who would prove the victor?
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Emphasis mine. A hypothetical situation that has Spartans with iron (or a tank) places them far, far beyond the height of their power.