which is equivalent to \frac{2^{4}}{2^{2}}

To simplify \(\frac{2^{4}}{2^{2}}\), you can use the property of exponents that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, applying the property gives:

\[ \frac{2^{4}}{2^{2}} = 2^{4-2} = 2^{2} \]

Thus, \(\frac{2^{4}}{2^{2}} = 2^{2}\).

If you want to express \(2^2\) in numerical form, it equals:

\[ 2^2 = 4 \]

So, \(\frac{2^{4}}{2^{2}} = 2^{2} = 4\).