To simplify the expression \( \frac{2^2}{2^{-4}} \) using the properties of integer exponents:
- Recall the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).
- Apply this property here by rewriting \( \frac{2^2}{2^{-4}} \) as: \[ 2^{2 - (-4)} = 2^{2 + 4} = 2^6 \]
Now, calculate \( 2^6 \): \[ 2^6 = 64 \]
Therefore, the expression \( \frac{2^2}{2^{-4}} \) simplifies to \( 64 \) as a whole number.
So, the final answer is: \[ \boxed{64} \]