Step 1: Write out the equation
[tex](\frac{1}{8})^{2-2n}=16[/tex]
Step 2: Simplify the written equation
[tex]\begin{gathered} (\frac{1}{8})^{2-2n}=16 \\ \text{ Therefore} \\ (2^{-3})^{2-2n}=2^4 \\ \text{Hence} \\ 2^{-6+6n}=2^4 \\ \text{Thus} \end{gathered}[/tex][tex]\begin{gathered} -6+6n=4 \\ \text{add 6 to both sides to get} \\ -6+6+6n=4+6 \\ 6n=10 \\ \text{ Dividing both sides by 6, we have} \\ \frac{6n}{6}=\frac{10}{6} \\ n=\frac{5}{3} \end{gathered}[/tex]
Hence, n = 5/3
