A combination of petawatt laser and nuclear physics techniques can facilitate studies for exotic nuclei properties. In this article, the Laser-driven Exotic Nuclei extraction-acceleration method is discussed. A femtosecond petawatt laser extracts the short-lived heavy exotic nuclei created by an external ion beam via nuclear reactions in a target, and accelerates them to high energy in a form of highly charged nuclei. This technique has a significant novelty comparing to the conventional method and facilitates studies for exotic nuclei which will make a big contribution to understand the cosmological nucleosynthesis and astronomical high energy phenomena.