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 ${\mathbf{2}}^{\mathbf{27}}$.