5. Simplify: \( \sqrt[3]{\frac{297}{64}} \)

To simplify \( \sqrt[3]{\frac{297}{64}} \), we can break it down by simplifying the numerator and denominator separately. The cube root of the fraction can be expressed as: \[ \sqrt[3]{\frac{297}{64}} = \frac{\sqrt[3]{297}}{\sqrt[3]{64}} \] We know that \( \sqrt[3]{64} = 4 \) because \( 4 \times 4 \times 4 = 64 \). Now, for \( \sqrt[3]{297} \), we can try to simplify it further, but since 297 doesn’t have a perfect cube as a factor (it breaks down to \( 3 \times 99 \) and further \( 3 \times 3 \times 11 \)), it remains \( \sqrt[3]{297} \). Thus, the simplified expression becomes: \[ \frac{\sqrt[3]{297}}{4} \] So, the final answer is: \[ \frac{\sqrt[3]{297}}{4} \]