Hi MFL :))
(xy^2)^3 X (x^-2)
\((xy^{2})^3 \times (x^{-2})\\ =(x^{1}y^{2})^3 \times (x^{-2})\\ =x^{1*3}y^{2*3} \times (x^{-2})\\ =x^{3}y^{6} \times x^{-2}\\ =x^{3+-2}y^{6} \\ =x^{1}y^{6} \\ =xy^{6} \\~\\ or\\~\\ (xy^{2})^3 \times (x^{-2})\\ =\frac{xy^2*xy^2*xy^2}{x^2}\\ etc\)