Answer:
None
Step-by-step explanation:
Evaluate each answer option, following the order of operations (PEMDAS).
[tex]\begin{aligned}\textsf{A.} \quad (6^2+2)-18\sqrt{81}&=(36+2)-18\sqrt{81}\\&=(36+2)-18(9)\\&=38-18(9)\\&=38-162\\&=-124\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{B.} \quad 6^2(2-8)\sqrt{81}&=36(2-8)\sqrt{81}\\&=36(2-8)(9)\\&=36(-6)(9)\\&=(-216)(9)\\&=-1944\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{C.} \quad (6^2+2-8)\sqrt{81}&=(36+2-8)\sqrt{81}\\&=(36+2-8)(9)\\&=(38-8)(9)\\&=(30)(9)\\&=270\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{D.} \quad 6^2 +2(8\sqrt{81})&=36+2(8\sqrt{81})\\&=36+2(8\cdot 9)\\&=36+2(72)\\&=36+144\\&=180\end{aligned}[/tex]
Therefore, none of the answers has a value of -18.