Exponentiation by Squaring – Fast Power Computation

In this video, we explore Exponentiation by Squaring, a powerful algorithm that speeds up exponentiation from O(n) to O(log n)! 🔥 We compare it with naïve exponentiation, break it down step by step, and show why it's widely used in mathematics, computer science, and cryptography. 📌 What you'll learn: ✅ How exponentiation works 📊 ✅ Why naïve exponentiation is slow ⚡ ✅ How Exponentiation by Squaring makes it faster ⏩ ✅ Practical applications in programming 🔐 💡 If you found this video helpful, don’t forget to like, share, and subscribe for more explanations! 👍✨ 🎥 Math animations created using Manim: 🔗 https://www.manim.community/ #computerscience #manim #exponent #exponents #exponential #mathvideo #maths #animation #animationvideo #iteachmath #mathematics #algebra #algorithm #algorithms 0:04 Intro 0:26 Naive Exponentiation: Formula 0:36 Naive Exponentiation: Example 0:56 Naive Exponentiation: Visual 1:08 Exponentiation by Squaring: Formula 1:52 Exponentiation by Squaring: Example 3:47 Exponentiation by Squaring: Visual 4:22 Methods Comparison