27. \(\frac{\log_4 \sqrt[3]{2}}{\log_4 4}\)

\(\frac{\log_4 \sqrt[3]{2}}{\log_4 4} = \frac{\log_4 2^{\frac{1}{3}}}{1} = \frac{1}{3} \log_4 2 = \frac{1}{3} \log_{2^2} 2 = \frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}\). Ответ: \(\frac{1}{6}\)