7^777 = 43?? 😱 Find FIRST TWO DIGITS in few Minutes! | Olympiad & JEE Without calculator 🚀

#7^777 #numbertheory #Matholympiad #FirstTwoDigits #Logarithms #modulararithmetic #imo #floorfunction #jeeadvanced #RMO #IOQM #iitianexplains #LastDigitProblems #ExponentModulo #MATHS&SCIENCE BY IITIAN 🌍 7^777 is a MONSTER number – far too gigantic for any ordinary calculator! But can we find its FIRST TWO DIGITS without expanding it? Here it is solved by an IITian without calculator. Here 7^777 = 43?? 😱 Find FIRST TWO DIGITS in few Minutes! | Olympiad & JEE Without calculator 🚀 The answer is 43! 😲 But HOW? That is exactly what this video reveals – and it works for ANY large power, ANYWHERE in the world! 👇 THE PROBLEM WE ARE SOLVING: n ≡ ⌊ 7^777 / 10^(⌊log₁₀(7^777)⌋−1) ⌋ (mod 100) Translation: Find the first two digits of 7^777. This is a classic problem that appears in: ✅ International Mathematical Olympiad (IMO) ✅ Regional Olympiads (USA, UK, Canada, Australia, Singapore, India, and more) ✅ JEE Main & JEE Advanced ✅ SAT Math, AP Calculus, and University Entrance Exams ✅ Competitive exams in maths all over. Sounds intimidating? Not after watching this video! 💪 🎯 WHAT YOU WILL LEARN IN JUST 5 MINUTES: ✅ How to handle GIGANTIC numbers using LOGARITHMS – a universal tool ✅ The SECRET behind the FLOOR FUNCTION in digit extraction ✅ A step-by-step method to find FIRST TWO DIGITS of ANY large power ✅ An IITian-level SHORTCUT that saves precious exam time worldwide ✅ BONUS: A quick trick to find LAST TWO DIGITS too! 🎁 ⚡ WHY THIS VIDEO IS A GAME-CHANGER FOR STUDENTS EVERYWHERE: This type of problem is NOT about memorization – it is about CONCEPTUAL CLARITY. Examiners from every country love testing this because it checks your understanding of: Logarithms Floor functions Modular arithmetic Scientific notation Once you learn this trick, you will solve such problems in SECONDS while others struggle for MINUTES. That is the difference between a good score and a TOP score! 😎 💬 CHALLENGE FOR YOU . Find the first two digits of 13^100. Drop your answer in the COMMENTS section. 📢 IF THIS VIDEO HELPS YOU EVEN 1%, DO THESE 3 THINGS RIGHT NOW: 👉 LIKE the video – it really motivates me to create more content for students worldwide 🙏 👉 SUBSCRIBE to the channel – we post such powerful tricks every week for the global student community! 🔔 👉 SHARE with your friends preparing for Olympiads, JEE, SAT, or any competitive exam.🤝 The playlists and links for all videos are given as below : MATHEMATICS BY IITIAN    • MATHEMATICS BY  IITIAN   Channel Name : MATHS&SCIENCE BY IITIAN Handle : @mathsciencebyiitian Email : [email protected] Kindly view, review and comment on videos for improvement and subscribe to my channel.