Answer:
6a^2+ 2bc-2c^1/3 = 162
Step-by-step explanation:
[tex] \rm 6 {a}^{2} + 2bc - 2 {c}^{ \frac{1}{3} } [/tex]
[tex] = 6 {(1)}^{2} + 2(3)(27) - 2( {27)}^{ \frac{1}{3} } [/tex]
[tex] \rm = 6 + 162 - 2 ( \sqrt[3]{27} )[/tex]
[tex] \rm = 168 - 2(3)[/tex]
[tex] \rm = 168 - 6[/tex]
[tex] \boxed{\rm = 162}[/tex]