Next step in solving an equations... I have managed so far to break down an the following equation:
$x^n+y^n=1$
to
$x^n=1-y^n$
but what is the next step to get $x$ on it's own?
I have hopped over here from StackOverflow where I am trying draw superellipse where a and b are always 1. So applogies for my lack of terminology! I have a very beginner understanding of mathematics and almost no understanding of mathematical notation for equations!

$$x^n+y^n=1$$
$$\iff x^n = 1 - y^n$$
$$\implies \large (x^n)^{\frac 1n} = x = \left(1 - y^n\right)^{\frac 1n}$$
Another way of expressing "to the $1/n$th power" is "the nth root of", which is denoted on the right-hand side below:
$$x = \left(1 - y^n\right)^{\large \frac 1n} = \sqrt[\Large n]{1 - y^n}$$
