いかに + [verb (plain)] + か いかに + [i-adj] + か いかに + [na-adj] + であるか / [na-adj] + か いかに + [noun] + であるか
いかに + [verb (plain)] いかに + [i-adj] いかに + [na-adj] + な/である いかに + [noun] + である
いかに〜ても / いかに〜でも (concessive: "no matter how")
いかにして + [verb] (in what way / by what means)
いかに is a formal literary adverb meaning "how", "in what way", or "to what extent". It is used to emphasize the degree or manner of something, and appears frequently in written Japanese, speeches, and formal discourse. It corresponds to どのように or どれほど in everyday language but carries a more elevated, rhetorical tone.
いかに is used to emphasize the degree to which something is the case. It often pairs with か at the end of the clause to form an embedded question ("how … it is").
When used without か, いかに can directly modify a verb or adjective to stress the extent:
いかに can ask or describe the manner in which something is done. This usage is especially common in formal essays and speeches.
When combined with ても or であろうと, いかに forms a concessive pattern meaning "no matter how …". This is a strong, formal way to express that a result holds regardless of the degree or manner.
いかに belongs to formal/literary register. In everyday conversation, speakers would use どんなに, どれほど, or どのように instead. Using いかに in casual speech sounds stiff or dramatic, so it is best reserved for writing, presentations, or rhetoric.