Exodus is the continuation of the promise and story that began in Genesis. You have the ancestors of Abraham, Isaac, and Jacob who were left in Egypt at the end of Genesis and throughout Exodus we see God working in mighty ways to show His glory through freeing the Israelites.
How and why does this apply to me today? I look at the stories of how God did many wonders and I am in awe of HIs power and faithfulness. I also see that I am wholly unable to work my own salvation! The people of Israel had a very tangible and visual reminder of God about them yet they constantly strayed from His commands. I do the same thing but by the Grace of God I can place my trust in the death of Jesus Christ for my hope.
I look forward to continuing the journey through the Bible with Leviticus next to see the story of salvation play out one step at a time.