I have seen the reference of ह्रीं at multiple mantras.
What is the exact significance of this mantra and how powerful is this?
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Taken from Siddha Kunjika strotram:
ऐंकारी सृष्टि रूपाये ह्रींकारी प्रतिपालिका क्रींकारी कामरूपिण्यै बीजरूपे नमोस्तुते
ह्रीं is a seed(बीज) mantra of goddess Para-shakti/Durga or Maya.
ह्रीं is symbolization of Maya for her act of guarding and maintaining the existence of the world.
As it is a seed mantra, one can find it's usage in many other mantras, Tantra & Yantra sects.
Reference reading: Siddha Kunjika strotra, Devi Bhagwat(Durga Saptshati) - Markandeya Purana
For more details:Hrim, Hrīṃ