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Curated by: Khan Academy India - English (24 videos)
In this video, we explain the rules of exponents and roots with clear logic and practical examples, focusing on cube roots and their properties. First, we apply the identity (a x b)^(1/3)=a^(1/3) x b^(1/3), proving it with numbers. Then, we move to (a/b)^(3)=a^(3)/b^(3), demonstrating with an example Finally, we unpack the cube root of a fraction using (a/b)^(1/3)=a^(1/3)/b^(1/3) Each identity is proven step by step, with patterns and logic shown both numerically and visually to help you truly understand and remember these important exponent rules. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! https://www.khanacademy.org/math/class-8-od/x97648b3e69d960e3:square-square-roots-and-cube-cube-roots-odia-class-8 Timestamps: 00:00 Identity (a x b)^(1/3)=a^(1/3) x b^(1/3) 02:37 Identity (a/b)^(3)=a^(3)/b^(3) 03:42 Identity (a/b)^(1/3)=a^(1/3)/b^(1/3) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Mahak Wasan