first man who stepped in the surface of the moon..FAKE

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is it true that their still no man who step in the moon,even neil armstrong? rumors that the landing of apollo 13 in the moon is just fake. many questioned about the waving or moving of the US flag in the moon,well in fact their is no atmosphere there,so meaning there is no air present and another one are the footsteps made there,in my knowledge, moon's gravity is just 1/4 the gravity of earth,so in that such amount of gravity you cannot really exert to much pressure into the surface of the moon, but why in the pictures and video that had been shown worldwide, astronuat made a deep footstep in the moon?and is it true that this was just a way of US to put themselves into fame by prooving in the world that americans are the first man who stepped in the moon,and showing the soviet union that their were the best in terms of technology?whew! sorry for my poor grammar!!hahaahha