simplify 2^16/2^-11

Answer 1

To simplify \(\frac{2^{16}}{2^{-11}}\), you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).

Applying this property:

\[ \frac{2^{16}}{2^{-11}} = 2^{16 - (-11)} = 2^{16 + 11} = 2^{27} \]

So, the simplified form is \(\mathbf{2^{27}}\).