\frac{8^{\frac{3}{2} }*(-2)^3*\sqrt2}{\sqrt{8*(\frac{1}{2})^{-2}}}=\frac{(2^3)^{\frac{3}{2}}*(-2)^3*2^{\frac{1}{2}}}{\sqrt{2^3*2^2}}=
=\frac{2^{\frac{3*3}{2}}*(-2)^3*2^{\frac{1}{2}}}{\sqrt{2^3*2^2}}=\frac{2^{\frac{9}{2}+\frac{1}{2}}*(-2)^3} {\sqrt{2^5}}=\frac{2^5*(-2)^3}{2^{\frac{5}{2} }}=
=2^5*2^{-\frac{5}{2}}*(-2)^2*(-2)=2^{\frac{10}{2}-\frac{5}{2}}*(-2)* 2^2=2^{\frac{5}{2}+\frac{4}{2}}*(-2)=
=(-2)*\sqrt{2^9}=(-2)*2^4\sqrt2=-32\sqrt2