We all know that $x^2+y^2=r^2$ is a circle. What does $(x^2+y^2)^2$ signify? In general, what is $(x^2+y^2)^n$?
2026-03-26 04:53:43.1774500823
What is the meaning of $(x^2+y^2)^n$? Is this an already known geometric object?
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Using the transformation: $$x=r\cos(t),~~y=r\sin(t)$$ there is no change. I mean the circle remains unchanged.