If $\det \mathbf{M} = -2,$ then find $ \det (\mathbf{M}^4).$
To find $\det (\mathbf{M}^4),$ I need to use the property that $\det (\mathbf{M}^n) = (\det \mathbf{M})^n.$ This means that $\det (\mathbf{M}^4) = (\det \mathbf{M})^4 = (-2)^4.$ Since $(-2)^4 = 2^4 = 16,$ I have found the answer. 