Simplify: ${⎛ ⎜ ⎝ \frac{12^{\frac{1}{5}}}{22^{\frac{1}{5}}} ⎞ ⎟ ⎠}^{\frac{5}{2}}$

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Solution

${⎛ ⎜ ⎝ \frac{12^{\frac{1}{5}}}{22^{\frac{1}{5}}} ⎞ ⎟ ⎠}^{\frac{5}{2}} = \frac{12^{\frac{1}{2}}}{22^{\frac{1}{2}}} = {(\frac{6}{11})}^{\frac{1}{2}}$

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