Chapter 14.3, Problem 54E

Radial Fields in ¡³ are conservative Prove that the radial field $F\text{=}\frac{r}{{\left|r\right|}^p}$, where r = 〈x, y, z〉 and p is a real number, is conservative on any region not containing the origin. For what values of p is F conservative on a region that contains the origin?