To rotate a point \( (x, y) \) 180° clockwise around the origin, you can use the following transformation:
\[ (x, y) \rightarrow (-x, -y) \]
So, for the point \( (3, -5) \):
\[ (3, -5) \rightarrow (-3, 5) \]
Therefore, after rotating the point \( (3, -5) \) 180° clockwise, the new point is \( (-3, 5) \).