For the phrase “But this is why I have let you live: to show you my power, and to make my name resound through all the earth,” see Romans 9:17.

Note that this quote in the New Testament is not taken from the Hebrew Bible but from the Greek Septuagint (LXX) which translates into English as “And for this reason you have been spared in order that I might display in you my power and in order that my name might be proclaimed in all the land.'” (Translation by NETS — for the Greek version see the title’s tooltip)