simplify 2^16/2^-5

To simplify \( \frac{2^{16}}{2^{-5}} \), you can use the property of exponents that states:

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

In this case, \( a = 2 \), \( m = 16 \), and \( n = -5 \).

Now, applying the property:

\[
\frac{2^{16}}{2^{-5}} = 2^{16 - (-5)} = 2^{16 + 5} = 2^{21}
\]

Thus, the simplified form of \( \frac{2^{16}}{2^{-5}} \) is:

\[
2^{21}
\]