8189. 'And the Egyptians will know that I am Jehovah' means in order that it may be known that the Lord alone is God, and apart from Him there is no other. This is clear from the explanations in 7401, 7444, 7544, 7598, 7636, where similar words occur.

7544. '[In order] that you may know that there is none like Me in the whole earth' means that they would know from this that the Lord was the only God. This is clear from what has been stated above in 7401.