凭着 means 'relying on' or 'by virtue of' — it introduces the condition, resource, or quality that someone depends on to achieve something. The structure is 凭着 + noun phrase. It's often used to describe how someone succeeds (凭着努力 'with hard work') or makes a judgment (凭着经验 'based on experience'). Note that the dictionary pinyin here is 'píng zhāo', though in standard Mandarin the second syllable is typically neutral tone (zhe).