Simplify the expression. Use only positive exponents.

(−2x^−3 y^−2 )^−1 =
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(x^3y^3z^3 ) −4

(−2x^−3 y^−2 )^−1 = -1/2 x^3 y^2

1/(x^3y^3z^3 )^−4 = x^12 y^12 z^12

now multiply and you get
-1/2 x^15 y^14 z^12