Answer
1
Work Step by Step
$\frac{(x^{-2}y)^{-3}}{(x^{2}y^{-1})^{3}}=\frac{1}{(x^{-2}y)^{3}(x^{2}y^{-1})^{3}}=\frac{1}{(x^{-2}y)(x^{-2}y)(x^{-2}y)(x^{2}y^{-1})(x^{2}y^{-1})(x^{2}y^{-1})}=\frac{x^{2}x^{2}x^{2}yyy}{yyyx^{2}x^{2}x^{2}}=1$
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