Simplify the Expression: 2^a ÷ 2^2 Using Exponent Rules

Insert the corresponding expression:

$\frac{2^a}{2^2}=$

To solve the expression $\frac{2^a}{2^2}$, we will apply the Power of a Quotient Rule for Exponents, which states that when you divide two powers with the same base, you subtract the exponents.

Here are the steps:

• Identify the base: Both the numerator and the denominator have the same base, which is 2.

• Apply the quotient rule of exponents: $\frac{b^m}{b^n} = b^{m-n}$. By applying this rule:

  $\frac{2^a}{2^2} = 2^{a-2}$.

Thus, by utilizing the rule, we find that:

$\frac{2^a}{2^2} = 2^{a-2}$.

The solution to the question is: $2^{a-2}$