Israel's Exile Was First Prophesied By Moses

But know this first of all, that no prophecy of Scripture is a matter of one's own interpretation, for no prophecy was ever made by an act of human will, but men moved by the Holy Spirit spoke from God. (2 Peter 1:20-21 NASB)

Israel's exile was first prophesied by Moses, then by Jeremiah before it came to pass. The history of Israel was pre-written by Moses because Moses is a true prophet.

I myself will lay waste the land, so that your enemies who live there will be appalled. I will scatter you among the nations and will draw out my sword and pursue you. Your land will be laid waste, and your cities will lie in ruins. Then the land will enjoy its sabbath years all the time that it lies desolate and you are in the country of your enemies; then the land will rest and enjoy its sabbaths. All the time that it lies desolate, the land will have the rest it did not have during the sabbaths you lived in it. (Leviticus 26:32-35 NIV)

This whole land shall become a ruin and a waste, and these nations shall serve the king of Babylon seventy years. (Jeremiah 25:11 ESV)

So the message of the LORD spoken through Jeremiah was fulfilled. The land finally enjoyed its Sabbath rest, lying desolate until the seventy years were fulfilled, just as the prophet had said. (2 Chronicles 36:21 NLT)