Dua for exams and studying

Short answerQuranic and prophetic supplications for students: “My Lord, expand my chest and ease my task,” “My Lord, increase me in knowledge,” and “O God, nothing is easy except what You make easy.” Say them before studying and when entering the exam, then work hard and rely on God.

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قَالَ رَبِّ ٱشۡرَحۡ لِي صَدۡرِي ۝ وَيَسِّرۡ لِيٓ أَمۡرِي ۝ وَٱحۡلُلۡ عُقۡدَةٗ مِّن لِّسَانِي ۝ يَفۡقَهُواْ قَوۡلِي
Rabbishraḥ lī ṣadrī, wa yassir lī amrī, waḥlul 'uqdatan min lisānī, yafqahū qawlī.
Он сказал: «Господь мой! Раскрой мне грудь мою, и облегчи мне дело моё, и развяжи узел с языка моего, дабы они поняли речь мою.
The dua of Musa when he was given his mission.
Ta-Ha 20:25–28
فَتَعَٰلَى ٱللَّهُ ٱلۡمَلِكُ ٱلۡحَقُّۗ وَلَا تَعۡجَلۡ بِٱلۡقُرۡءَانِ مِن قَبۡلِ أَن يُقۡضَىٰٓ إِلَيۡكَ وَحۡيُهُۥۖ وَقُل رَّبِّ زِدۡنِي عِلۡمٗا
Rabbi zidnī 'ilmā.
Возвышен Аллах, Истинный Владыка! И не торопись с [чтением] Корана, прежде чем будет завершено внушение тебе его откровения, и скажи: «Господь мой! Приумножь моё знание».
God commanded His Prophet ﷺ to ask for more knowledge.
Ta-Ha 20:114
اللَّهُمَّ لَا سَهْلَ إِلَّا مَا جَعَلْتَهُ سَهْلًا، وَأَنْتَ تَجْعَلُ الْحَزْنَ إِذَا شِئْتَ سَهْلًا
Allāhumma lā sahla illā mā ja'altahu sahlā, wa anta taj'alul-ḥazna idhā shi'ta sahlā.
O God, nothing is easy except what You make easy, and You make the difficult easy if You will.
A supplication for ease in every matter.
Ibn Hibban 974, graded sound by Al-Albani
اللَّهُمَّ انْفَعْنِي بِمَا عَلَّمْتَنِي، وَعَلِّمْنِي مَا يَنْفَعُنِي، وَزِدْنِي عِلْمًا
Allāhummanfa'nī bimā 'allamtanī, wa 'allimnī mā yanfa'unī, wa zidnī 'ilmā.
O God, benefit me with what You have taught me, teach me what will benefit me, and increase me in knowledge.
A supplication for beneficial knowledge.
At-Tirmidhi 3599, Ibn Majah 251

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Does dua replace studying?

No; dua goes together with effort and taking the means.