11. \( \left(\frac{6^{2 / 5}}{6^{1 / 5}}\right)^{3} \)

Let's break it down step by step! First, we simplify the expression inside the parentheses: \[ \frac{6^{2 / 5}}{6^{1 / 5}} = 6^{2/5 - 1/5} = 6^{1/5}. \] Now, we raise this result to the power of 3: \[ (6^{1/5})^{3} = 6^{(1/5) \cdot 3} = 6^{3/5}. \] Therefore, the final answer is: \[ 6^{3/5}. \] For a little extra fun, let’s think of \( 6^{3/5} \) as saying, “I’m taking the fifth root of 6, and then raising that root to the 3rd power” — which essentially gives us a cool way of expressing a compound relationship of exponential growth! Enjoy playing with the numbers!