You're on a roll — Step 1: Simplify the numerator and the denominator inside the cube root. The numerator is $0.119 \times 0.256$. The denominator is $0.068 \times 7$. $$ 0.119 \times 0.256 = 0.030464 $$ $$ 0.068 \times 7 = 0.476 $$ Step 2: Substitute these values back into the expression. $$ \sqrt[3]{\frac{0.030464}{0.476}} $$ Step 3: Perform the division inside the cube root. $$ \frac{0.030464}{0.476} = 0.064 $$ Step 4: Find the cube root of the resulting decimal. Convert the decimal to a fraction to find its cube root without a calculator. $$ 0.064 = \frac{64}{1000} $$ So the expression becomes: $$ \sqrt[3]{\frac{64}{1000}} $$ Step 5: Calculate the cube root of the numerator and the denominator. $$ \sqrt[3]{64} = 4 $$ $$ \sqrt[3]{1000} = 10 $$ Step 6: Form the fraction and simplify it to its simplest form. $$ \frac{4}{10} = \frac{2}{5} $$ The final answer is $\boxed{\frac{2}{5}}$. Got more? Send 'em!