(-2a^3 b^2 c)^3÷(-4a^2 b^3 )^2-a^4c*(-2ac^2)

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(-2a^3 b^2 c)^3÷(-4a^2 b^3 )^2-a^4c*(-2ac^2)
(-2a^3 b^2 c)^3÷(-4a^2 b^3 )^2-a^4c*(-2ac^2)

(-2a^3 b^2 c)^3÷(-4a^2 b^3 )^2-a^4c*(-2ac^2)
(-2a^3 b^2 c)^3÷(-4a^2 b^3 )^2-a^4c*(-2ac^2)
=-8a^9b^6c^3÷16a^4b^6+2a^5c^3
=-1/2a^5c^3+2a^5c^3
=3/2a^5c^3

-1/2a^5+2a^5c^3