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In this paper we further develop the method of quaternion typification ofClifford algebra elements suggested by the author in the previous paper. On thebasis of new classification of Clifford algebra elements it is possible toreveal and prove a number of new properties of Clifford algebra. We use k-foldcommutators and anticommutators. In this paper we consider Clifford andexterior degrees and elementary functions of Clifford algebra elements.

Development of the method of quaternion typification of Clifford algebra elements