While quickly going through the first few chapters of the manual to get acquainted with the 35s, I came across an example on page 4-3 which shows the calculation of 3th root of -125 to be -5.

This perked my interest since I was under the impression that taking any xth root of a negative number is not possible on the 35s.

I performed the example, then tried calculating the xth of a handful of negative numbers.

Conclusion?

It only works if x is odd (and y can be any negative real numbers). If x is even, it will fail.

The only condition mentioned on the page is that for y<0, x must be an integer.

Can someone tell me why?

My guess is that the condition should be for y<0, x must be an even integer.

Thanks.