Suppose $p$ is an odd prime. Show that $1^{p-1} +2^{p-1}+ \ldots +(p-1)^{p-1}\equiv -1\pmod p$

Suppose $p$ is an odd prime. Show that $1^{p-1} +2^{p-1}+ \ldots
+(p-1)^{p-1}\equiv -1\pmod p$

Suppose $p$ is an odd prime. Show that $1^{p-1} +2^{p-1}+ \ldots
+(p-1)^{p-1}\equiv -1\pmod p$. I think I need to use Wilson's Theorem on
this but I'm not sure how. I believe I am suppose to factor it somehow too
but also I'm lost at this point.