Answer the following questions
(a) Find all real solutions of the equation
$$\left(x^{2}-2x\right)^{x^{2}+x-6} = 1$$
Explain why your solutions are the only solutions.
(b) The following expression is a rational number. Find its value.
$$\sqrt[3]{6\sqrt{3}+10} - \sqrt[3]{6\sqrt{3}-10}$$