Do the question in the picture and then tell how you got your answer

[latex]2(2\sqrt4)^{-2}=\\ 2\cdot(2\cdot2)^{-2}=\\ 2\cdot(2^2)^{-2}=\\ 2\cdot2^{-4}=\\ 2^{-3}=\\ \frac{1}{8} [/latex]