Edigles Guedes, K. Raja Rama Gandhi, On the Complete Elliptic Integrals and Babylonian Identity XII: The Complete Elliptic Integral of First Kind and Power Series Representation, BSMaSS Volume 9, The Bulletin of Society for Mathematical Services and Standards (Volume 9) https://www.scipress.com/BSMaSS.9.10 Abstract: We developed a new power series representation of the complete elliptic integral of first kind. Keywords: