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un‧der‧es‧ti‧mate1
1 [intransitive and transitive] to think or guess that something is smaller, cheaper, easier etc than it really is [≠ overestimate]
underestimate the importance/extent/effect/power etc of something 
Never underestimate the power of the press.
Never underestimate the power of the press.2 [transitive] to think that someone is not as good, clever, or skilful, as they really are
