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.(1 point)
222−4=
To apply the Properties of Integer Exponents, we can use the rules:
1. $a^m \cdot a^n = a^{m+n}$
2. $\frac{a^m}{a^n} = a^{m-n}$
3. $(a^m)^n = a^{m \cdot n}$
Using these rules, we can rewrite $2^{22-4}$ as $2^{22} \cdot 2^{-4}$.
Now, let's solve the expression using the properties of exponents:
$2^{22} \cdot 2^{-4} = 2^{22+(-4)} = 2^{18}$
Therefore, $2^{22-4} = 2^{18}$.
To simplify further, we can write $2^{18}$ as a whole number by evaluating it:
$2^{18} = 262144$
So, $2^{22-4} = 262144$.