2. When I noticed that $2^{4}=4^{2}, \mathrm{I}$ tried to find other pairs of numbers with this property. Trying 2 and 16 , I realised that $2^{16}$ is larger than $16^{2}$. How many times larger is $2^{16}$ ?
SolUTION
256
$$
\frac{2^{16}}{16^{2}}=\frac{2^{16}}{\left(2^{4}\right)^{2}}=\frac{2^{16}}{2^{8}}=2^{8}=256
$$