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Math Olympiad Challenge: Can you find x and y? (√8)^√x − (√5)^√y = 39 At first glance, this problem looks terrifying — square roots inside exponents, two unknowns, and no obvious path forward. But hidden inside is an elegant trick that makes everything click instantly. In this video, I'll walk you through the full step-by-step solution using exponent laws and strategic substitution — no guessing, pure logic. ━━━━━━━━━━━━━━━━━━━━━━ 🧠 What You'll Learn: ━━━━━━━━━━━━━━━━━━━━━━ ✔️ How to simplify radical exponents ✔️ How to rewrite expressions in the form a^n to compare bases ✔️ The smart substitution trick used in Olympiad competitions ✔️ Why x = 16 and y = 16 is the elegant answer ━━━━━━━━━━━━━━━━━━━━━━ 📌 Try It Yourself First! ━━━━━━━━━━━━━━━━━━━━━━ Pause the video and spend 5 minutes on it before watching the solution. Tag a friend who loves math and see if they can solve it! ━━━━━━━━━━━━━━━━━━━━━━ 🔔 Subscribe for daily Olympiad problems, algebra challenges, and competition math breakdowns designed to sharpen your problem-solving mind. ━━━━━━━━━━━━━━━━━━━━━━ #MathOlympiad #AlgebraChallenge #MathProblem #OlympiadMath #ExponentRules #MathTrick #CompetitionMath #LearnMath #MathIsBeautiful