Simplify:
(2x2y−3)−2(2x^2y^{-3})^{-2}(2x2y−3)−2
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(2x2y−3)−2=(2x2y3)−2=(y32x2)2=y64x4=14y6x−4(2x^2y^{-3})^{-2}\\[1em] = \Big(\dfrac{2x^2}{y^3}\Big)^{-2}\\[1em] = \Big(\dfrac{y^3}{2x^2}\Big)^2\\[1em] = \dfrac{y^6}{4x^4}\\[1em] = \dfrac{1}{4}y^6x^{-4}(2x2y−3)−2=(y32x2)−2=(2x2y3)2=4x4y6=41y6x−4
(2x2y−3)−2=14y6x−4(2x^2y^{-3})^{-2} = \dfrac{1}{4}y^6x^{-4}(2x2y−3)−2=41y6x−4
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