1. **State the problem:** Simplify the expression $$ (6x^4y^3)^2 $$ and compare it with $$ 9x^5y $$. 2. **Formula used:** When raising a power to another power, use the rule $$ (a^m)^n = a^{m \cdot n} $$. 3. **Apply the power to each factor inside the parentheses:** $$ (6x^4y^3)^2 = 6^2 \cdot (x^4)^2 \cdot (y^3)^2 $$ 4. **Calculate each part:** $$ 6^2 = 36 $$ $$ (x^4)^2 = x^{4 \cdot 2} = x^8 $$ $$ (y^3)^2 = y^{3 \cdot 2} = y^6 $$ 5. **Combine all parts:** $$ 36x^8y^6 $$ 6. **Compare with the expression $$ 9x^5y $$:** The simplified expression $$ 36x^8y^6 $$ is not equal to $$ 9x^5y $$. **Final answer:** $$ (6x^4y^3)^2 = 36x^8y^6 $$