The Kirin 970 is equivalent to the 710 Snapdragon
Snapdragon 710 and Kirin 970 processor processes are 10nm, the difference is that the Snapdragon 710 is Samsung OEM, Kirin 970 SMC OEM production, there is two are eight core processors. The performance of the Snapdragon 710 is not as good as the performance of the Kirin 970's large core main frequency or small core main frequency.
The Kirin 970 is equivalent to the Snapdragon 835, while the Kirin 710 is equivalent to the Snapdragon 660.