Answer
$\dfrac{3y^{10}}{2x^6}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{12x^{-6}}{8y^{-10}}
$, is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{4}\cdot3y^{10}}{\cancel{4}\cdot2x^6}
\\\\=
\dfrac{3y^{10}}{2x^6}
.\end{array}