(3x^4y^-3z^-1^)^-2
$$\\(3x^4y^{-3}z^{-1})^{-2}\\\\ =(3^1x^4y^{-3}z^{-1})^{-2}\\\\ =3^{-2}x^{-8}y^{6}z^{2}\\\\ =\dfrac{y^{6}z^{2}}{3^{2}x^{8}}$$