Diagonalization and power of a matrix

In this video I showed how to raise a diagonalizable matrix to a power.
Link to eigenvalues and eigenvector video
https://www.youtube.com/watch?v=BWvx4wUSGdA&lc=Ugxnn3lPTMsl0HoIq4F4AaABAg.9xZIeNtucSN9xZhgWSVd9L