Simplify. \( \sqrt[3]{80} \)

To simplify \( \sqrt[3]{80} \), we can start by breaking down the number 80 into its prime factors. The prime factorization of 80 is \( 2^4 \times 5 \). Now, applying the property of cube roots, we can separate the factors: \[ \sqrt[3]{80} = \sqrt[3]{2^4 \times 5} = \sqrt[3]{2^3 \times 2 \times 5} = \sqrt[3]{2^3} \times \sqrt[3]{2 \times 5} \] Since \( \sqrt[3]{2^3} = 2 \), we have: \[ \sqrt[3]{80} = 2 \times \sqrt[3]{10} \] Thus, the simplified form is \( 2\sqrt[3]{10} \).