अरिष्टगौडपूर्वे च

Operational rule vidhi

When the words अरिष्ट and गौड stand first, the first member has the acute accent (उदात्त) on the final before the word पुर.

Word by word (padaccheda)

Right context अरिष्ट- गौडपूर्वे saptamī · ekavacanaIndeclinable च avyaya

Right context Saptamī (7th case): "when X follows", the operation applies to what precedes (1.1.66 तस्मिन्निति निर्दिष्टे पूर्वस्य). Also a condition or domain ("in the sense of").
Indeclinable An avyaya such as च "and", वा "optionally", न "not".

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Full reading

अरिष्ट-गौडपूर्वे च

Pāṇini leaves out words that carry over from earlier sūtras. Expand to see the rule as a reader actually understands it.

Commentary

When the words अरिष्ट and गौड stand first, the first member has the acute accent (उदात्त) on the final before the word पुर।
Thus अरिष्ट꣡पुरम्, गौड꣡पुरम् ॥ By the force of the word पूर्व in the aphorism, we can apply the rule to अरिष्टश्रित꣡पुरम्, गौडभृत्यपुरम् ॥

Śrīśa Chandra Vasu, The Ashtadhyayi of Panini (1897), via ashtadhyayi.com.