nṛṇāḿ niḥśreyasārthāya
vyaktir bhagavato nṛpa
avyayasyāprameyasya
nirguṇasya guṇātmanaḥ
nrinam -- for humanity; nihsreyasa -- of the highest benefit; arthaya -- for the purpose; vyaktih -- the personal appearance; bhagavatah -- of the Supreme Lord; nripa -- O King; avyayasya -- of Him who is inexhaustible; aprameyasya -- immeasurable; nirgunasya -- untouched by material qualities; guna-atmanah -- the controller of the material modes.
O King, the Supreme Lord is inexhaustible and immeasurable, and He is untouched by the material modes because He is their controller. His personal appearance in this world is meant for bestowing the highest benefit on humanity.
Since Lord Krishna descends to benefit mankind in general, why would He neglect innocent young girls who loved Him more than anyone else did? Although the Lord awards Himself to His pure devotees, He is avyaya, inexhaustible, because He is aprameya, immeasurable. He is also nirguna, free of material qualities, and thus those who intimately associate with Him are on the same spiritual platform. He is gunatma, the controller or original personality behind the modes of nature, and it is specifically for this reason that He is free of them. In other words, because the modes of nature are His energy, they cannot act upon Him.
