(Isa. 54:9)
After God cleansed the earth with a flood, he promised Noah that he would never again destroy the earth in that manner. (Gen. 9:13–17.) Here Isaiah impresses upon Israel that the promise God made to gather and redeem her is as valid as his promise to Noah.
As part of his promise, the Lord says that he will never again rebuke Israel (v. 9). The Lord cannot lie, and since he has sworn not to be angry with Israel nor to rebuke her, and since he has also promised that he will “chasten” or rebuke those whom he loves if they are wicked (D&C 95:1), Isaiah’s prophecy means that a time will come when Israel will become righteous enough that she will need no chastisement from the Lord.
When all Israel and the earth as a whole is righteous, the Lord’s millennial reign will be established.
(Victor L. Ludlow, Isaiah: Prophet, Seer, and Poet [Salt Lake City: Deseret Book Co., 1982], 461.)
The destiny of latter-day Zion is parallel to the pattern of Noah… . Both Noah and Zion strive to remain faithful to their covenants in darkening days of abomination and desolation. They each witness a cleansing of the earth, first by flood and later by fire. Their lives are spared, but they mourn for those who are lost. Zion feels homeless and tempest-tossed, like Noah and his family must have felt during the stormy days in the ark (see Gen. 7:6–20). Zion longs for a place to rest just as Noah looked hopefully for the birds to bring signs of land. The Lord redeems Zion by renewing the covenant of peace that he made with Noah, whose name in Hebrew means “comfort” or “rest.”
The new covenant is an unconditional “Royal Grant” of land and blessings, typically given by a king to his faithful servants in the ancient Near East.
Like a rainbow after a storm, the promise moves from the waters of Noah to the shining beauty of the temple in the city of Zion. When the Lord redeems Zion, she and her children will receive all the blessings of the temple.
(Cynthia L. Hallen, “Redeeming the Desolate Woman,” Journal of Book of Mormon Studies, vol. 7, no. 1: 43–44.)