Hello again, I have no idea about how to solve this, could you help me? Thank you so much!

Let $\displaystyle x\in{\mathbb{R}^3}$ and $\displaystyle r= \left\|{x}\right\|$. Consider the field $\displaystyle f(x)=r^px$ where p is a real constant.

(a) Specify on which regions of $\displaystyle \mathbb{R}^3$ this field is conservative.

(b) On those regions where the field is conservative, find the potential of f. (Consider separately the case when p = 2).

Thanks!!