( 6 )^4 ÷ ( 36 )^3 × 216 = 6^ ( ? - 5 )

Answer: Option C

$$\begin{array}{rl}& \text{Let ,}\\ & {\left(6\right)}^4÷{\left(36\right)}^3\times 216=6^{\left(x-5\right)}\\ & \text{Then,}\\ & 6^{\left(x-5\right)}={\left(6\right)}^4÷{\left(6^2\right)}^3\times 6^3\\ & \Rightarrow 6^{\left(x-5\right)}=6^4÷6^{\left(2\times 3\right)}\times 6^3\\ & \Rightarrow 6^{\left(x-5\right)}=6^4÷6^6\times 6^3\\ & \Rightarrow 6^{\left(x-5\right)}=6^{\left(4-6+3\right)}\\ & \Rightarrow 6^{\left(x-5\right)}=6\\ & \Rightarrow x-5=1\\ & \Rightarrow x=6\end{array}$$