Simplify the following (write your answer as a fraction or a decimal) \[ (0,008)^{\frac{1}{3}} \]

We start with the expression \[ (0.008)^{\frac{1}{3}}. \] First note that \[ 0.008 = \frac{8}{1000} = \frac{8}{10^3}. \] Now, we take the cube root: \[ (0.008)^{\frac{1}{3}} = \left(\frac{8}{10^3}\right)^{\frac{1}{3}} = \frac{8^{\frac{1}{3}}}{(10^3)^{\frac{1}{3}}}. \] We know that \[ 8^{\frac{1}{3}} = 2 \quad \text{and} \quad (10^3)^{\frac{1}{3}} = 10, \] so \[ (0.008)^{\frac{1}{3}} = \frac{2}{10}. \] Simplify the fraction: \[ \frac{2}{10} = \frac{1}{5}. \] Therefore, the simplified value is \[ \frac{1}{5} \quad \text{or} \quad 0.2. \]