1. The problem asks to evaluate $\left(\frac{36}{6}\right)^3$. 2. First, simplify the fraction inside the parentheses: $\frac{36}{6} = 6$. 3. Now raise 6 to the power of 3: $6^3 = 6 \times 6 \times 6$. 4. Calculate the multiplication: $6 \times 6 = 36$, then $36 \times 6 = 216$. 5. Therefore, $\left(\frac{36}{6}\right)^3 = 216$.