Answer:
[tex]-27x^2\\[/tex]
Step-by-step explanation:
(Assuming you can use a calculator)
[tex]\sqrt[3]{-729x^6} = \sqrt[3]{-1} * \sqrt[3]{729} * \sqrt[3]{x^6} \\\sqrt[3]{-1} =-1\\\sqrt[3]{729} = 27\\\sqrt[3]{x^6} = ((x^6)^{1/3}) = x^(6/3) = x^2\\\\hence\\\sqrt[3]{-729x^6} = -1*27*x^2 = -27x^2[/tex]
