pre-noun adjectival
trifling; trivial; insignificant
Pre-noun adjectival (rentaishi) meaning something is of little value or importance; often used dismissively. Related to たかが知れる.
See also: たかが知れる
彼の言い訳はたかの知れたものだ。
His excuse is a trifling one.
そんなたかの知れたことで怒るな。
Don't get angry over such a trivial thing.
たかが知れる is a verb phrase meaning 'to be of little consequence', while たかの知れた is its pre-noun adjectival form used directly before nouns.
Derived from the phrase たかが知れる (takaga shireru), literally 'the extent is known', implying that something is limited and thus insignificant. The pre-noun form たかの知れた is a fixed expression.