(0.04)2 ÷ (0.008) × (0.2)6 = (0.2)?

Answer: Option E

$$\begin{array}{rl}& \text{Let }{\left(0.04\right)}^2÷\left(0.008\right)\times {\left(0.2\right)}^6={\left(0.2\right)}^x\\ & \text{Then,}{\left(0.2\right)}^x={\left[{\left(0.2\right)}^2\right]}^2÷{\left(0.2\right)}^3\times {\left(0.2\right)}^6\\ & \iff {\left(0.2\right)}^x={\left(0.2\right)}^{\left(2\times 2\right)}÷{\left(0.2\right)}^3\times {\left(0.2\right)}^6\\ & \iff {\left(0.2\right)}^x={\left(0.2\right)}^4÷{\left(0.2\right)}^3\times {\left(0.2\right)}^6\\ & \iff {\left(0.2\right)}^x={\left(0.2\right)}^{\left(4-3+6\right)}\\ & \iff {\left(0.2\right)}^x={\left(0.2\right)}^7\\ & \iff x=7\end{array}$$