Apply the Properties of Integer Exponents to generate equivalent expressions to 222−4 with only positive exponents, then solve the expression. Provide the solution as a whole number
To apply the properties of integer exponents, we can rewrite the expression $2^{22-4}$ as $2^{22} \cdot 2^{-4}$.
Using the property $a^{m+n} = a^m \cdot a^n$, we can rewrite $2^{22} \cdot 2^{-4}$ as $2^{22} \cdot (2^4)^{-1}$.
Next, using the property $(a^m)^n = a^{mn}$, we can rewrite $(2^4)^{-1}$ as $2^{4 \cdot (-1)}$.
So the expression $2^{22-4}$ is equivalent to $2^{22} \cdot (2^4)^{-1}$ which is equivalent to $2^{22} \cdot 2^{4 \cdot (-1)}$.
Using the property $a^m \cdot a^n = a^{m+n}$, we can rewrite $2^{22} \cdot 2^{4 \cdot (-1)}$ as $2^{22 + 4 \cdot (-1)}$.
Simplifying $22 + 4 \cdot (-1)$ gives us $22 - 4$, which is equal to $18$.
Therefore, the expression $2^{22-4}$ is equal to $2^{18}$.
To solve $2^{18}$, we can calculate $2^{18} = 262,144$.
Thus, the solution to the expression $2^{22-4}$ as a whole number is $\boxed{262,144}$.