I've been toying around with stuff I probably shouldn't be.(adsbygoogle = window.adsbygoogle || []).push({});

I've been sketching a graph of y=x^n where n is a rational number (as opposed to an integer).

Of course, when I get into the fractional exponents, the negative portion of the curve ends up being imaginary (eg. x=-2,n=2.5 then y = squareroot(-32) or about 5.6i).

Before I actually attempt to sketch this on paper, has it been done already?

It'll be a 3D graph where the z-axis is the imaginary axis. The positive x side will look normal, the negative side will flip between positive y and negative y (also normal),butit will pass through the imaginary space with each flip.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fractional exponents of negative

**Physics Forums | Science Articles, Homework Help, Discussion**