1. **State the problem:** Simplify the expression $$\frac{(2a)^2}{4a}$$. 2. **Recall the formula and rules:** When raising a product to a power, apply the exponent to each factor: $$(xy)^n = x^n y^n$$. 3. **Apply the exponent:** $$(2a)^2 = 2^2 \cdot a^2 = 4a^2$$. 4. **Rewrite the expression:** $$\frac{4a^2}{4a}$$. 5. **Simplify the fraction:** Divide numerator and denominator by 4: $$\frac{4a^2}{4a} = \frac{a^2}{a}$$. 6. **Simplify the variables:** $$\frac{a^2}{a} = a^{2-1} = a$$. **Final answer:** $$a$$.