GMAT Problem Solving Question 11: Exponents

 
The following GMAT Problem Solving question tests your ability to manipulate exponents.

Question 11:

If $m=2^{16}$ and $n=2^{8}$, then which of the following is equivalent to $m^n$ ?

1. $2^{(2^{12})}$
2. $4^{(2^{11})}$
3. $4^{(2^{12})}$

1. $\quad \textrm{None}$
2. $\quad \textrm{I only}$
3. $\quad \textrm{II only}$
4. $\quad \textrm{I and II only}$
5. $\quad \textrm{I and III only}$