You can put this solution on YOUR website!
(I had to look this up because I wasn't familiar with the name)
Seems like the principle of powers says that if a = b, then a^n = b^n (however we must be careful when we take square, cubed, etc. roots, as I'll show later).
For example, we can solve
by squaring both sides to obtain
--> x = 47.
However, suppose we were given the equation
. Taking the fourth root of both sides it is easy to establish x = 1. It is correct, but there are three other values of x that satisfy: -1, i, and -i. These roots are often called "roots of unity."