Find the value of the determinant

$\begin{array}{lll}\mid 2^{2} & 2^{3} & 2^{4} \\ 2^{3} & 2^{4} & 2^{5} \\ 2^{4} & 2^{5} & 2^{6} \mid\end{array}$

$=2^{2} \times 2^{3} \times 2^{4} \mid 1 \quad 2 \quad 2^{2}$

$\begin{array}{lll}1 & 2 & 2^{2}\end{array}$

$\begin{array}{lll}1 & 2 & 2^{2}\end{array}$         [Taking out common factors from $R_{1}, R_{2}$ and $R_{3}$ ]

$=2^{2} \times 2^{3} \times 2^{4} \times 2 \mid 1 \quad 1 \quad 2^{2}$

$\begin{array}{lll}1 & 2 & 2^{2} \\ 1 & 2 & 2^{2}\end{array}$  [Two rows being identical]

$\Rightarrow \mid 2^{2} \quad 2^{3} \quad 2^{4}$

$2^{3} \quad 2^{4} \quad 2^{5}$

$2^{4} \quad 2^{5} \quad 2^{6} \mid=0$