Look at the following graphs of the equations.

we can find a few rules about graphs from them as the value of power for each equation is changed.

We here can infer some facts that if it's an odd number, the graph is an open curve around the upper right hand of the corner of a square or a circular graph, if even, it is a closed curve similar to a circle or a square.

In addition, its value is bigger, then the curve make a drastical turn.

Well, let's see cases of bigger powers such as 25 or 26.

Now, We can confirm the general result from above graph according to the change of the number of power, n.