I'm having trouble simplifying this. ^3 to the square root of negative 27

Do you mean ?

You cannot solve it in the real numbers: , and , where .

I wonder if the OP means this:



What you're looking for is the cube root of -27, or a number N that satisfies . Here's a hint: if N is a negative number the result is also negative: for example of N = -2 then . Perhaps now you can come up with a value for N that works?

I think ebaines's guess makes more sense, but it is unusual to write "square root" in this case.