• yoga-māyā — the spiritual power of bewilderment
  Compound: yoga (union, mystic potency) + māyā (the power that conceals and reveals). Gauḍīyas distinguish yoga-māyā (Bhagavān's internal potency that arranges līlā) from mahā-māyā (the external potency that binds conditioned souls). What Nārada wants to see is yoga-māyā at work, not mahā-māyā.
• yoga-īśvara-īśvarasya — of the supreme master of the masters of mystic power
  Compound: yoga-īśvara (master of yoga) + īśvara (master) in genitive. A double superlative — the īśvara of yoga-īśvaras. The same title returns at verse 38 from Nārada's mouth: he is verifying empirically what he names theoretically.
• vivitsayā — with the desire to know
  From √vid (to know). Vivitsā — the disposition of inquiry. Nārada's research is not skeptical; it is devotional. He moves through the palaces not to test whether the Lord is there, but to taste in how many modes He is there at once.
• kṛṣṇa-patnyāḥ — of a wife of Lord Kṛṣṇa
  Compound: kṛṣṇa + patnī (wife) in genitive. The verse uses patnī (lawful wife) rather than any softer term — Gauḍīyas underline that all sixteen thousand are full queens, not subordinates. The aiśvarya-līlā extends to every consort equally.

• Bhanu Sw SB 10-69-19 - Krishna%27s special mercy on Narada Muni - 2007-10-24 ISKCON Melbourne
  His Holiness Bhanu Swami· 2007-10-24· English

A scholar studying a master illusionist's performance does not stop after the first trick — he goes to a different theater each night to watch the same magician under different conditions. Nārada moves from palace to palace not because the first was incomplete, but because each new palace is another angle on the one inexhaustible Kṛṣṇa.