(-2x)^-2 How is this broken down?

Simplify the following: (-2 x)^(-2)

Multiply each exponent in -2 x by -2: (1)/((-2)^2 x^2)

(-2)^2 = 4: 1/(4 x^2)

Also remember

\((-2x)^{-2}\,=\,\frac{1}{(2x)^2}\,=\,\frac{1}{(2x)(2x)}\,=\,\frac{1}{2\cdot x\cdot 2\cdot x}\,=\,\frac{1}{2\cdot2\cdot x\cdot x}\,=\,\frac{1}{4x^2}\)