अन्वयः

अस्मिन् when he, प्रव्राजिते is exiled, राजा king Dasaratha, चिरम् for a long time, न वर्तयिष्यति will not survive, नूनम् surely, मेदिनी earth, क्षिप्रमेव soon, विधवा widow, भविष्यति will become.

M N Dutt

It is by virtue of mighty austerities and uncommon exertions that Dasaratha has obtained this son of his crowned with every auspicious sign. He being banished, the king shall not live long; and the Earth shall certainly be widowed soon.

Summary

This favourite son of Dasaratha who has similar traits like his father was born after he rigorously practised austerities accompanied by (Vedic) mantras. When he is banished, the king will not live long. Surely this land will soon be widowed.

पदच्छेदः

अस्मिन्	इदम् (७.१)
प्रव्राजिते	प्रव्राजित (√प्र-व्राजय् + क्त, ७.१)
राजा	राजन् (१.१)
न	न (अव्ययः)
चिरं	चिरम् (अव्ययः)
वर्तयिष्यति	वर्तयिष्यति (√वर्तय् लृट् प्र.पु. एक.)

छन्दः

अनुष्टुप् [८]

छन्दोविश्लेषणम्

१	२	३	४	५	६	७	८
अ	स्मि	न्प्र	व्रा	जि	ते	रा	जा
न	चि	रं	व	र्त	यि	ष्य	ति
वि	ध	वा	मे	दि	नी	नू	नं
क्षि	प्र	मे	व	भ	वि	ष्य	ति