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\( \normalsize\left[\left(-x^2\right)^3\right]^2\cdot\left(-2\right)^7:x^3\cdot y^2:2^6 \)
\( \normalsize=x^9\cdot y^3\cdot\left(-1\right)\cdot2^1=-2\cdot x^9\cdot y^3 \)
\( \normalsize=x^9\cdot y^2\cdot\left(-1\right)\cdot2^1=-2\cdot x^9\cdot y^2 \)
\( \normalsize=x^6\cdot y^2\cdot\left(-1\right)\cdot2^1=-2\cdot x^6\cdot y^2 \)
\( \normalsize=x^9\cdot y^2\cdot\left(-1\right)\cdot2^2=-4\cdot x^9\cdot y^2 \)