Answer
$-4/3*r^6*z^{-8}$
Work Step by Step
$(-2r^{-4})^2*(-3r^2*z^8)^{-1}$
$((-2)^2*(r^{-4})^2*-3^{-1}*(r^2)^{-1}*(z^8)^{-1}$
$4*r^{-8}*-1/3*r^{-2}*z^{-8}$
$-4/3*r^{8-2}*z^{-8}$
$-4/3*r^6*z^{-8}$
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