1. **State the problem:** Calculate the value of $$\sqrt[3]{0.0089} \times 65.4 - 0.94^2$$. 2. **Recall the formulas and rules:** - Cube root: $$\sqrt[3]{a} = a^{\frac{1}{3}}$$. - Square: $$a^2 = a \times a$$. - Order of operations: Calculate powers and roots first, then multiplication, then subtraction. 3. **Calculate the cube root:** $$\sqrt[3]{0.0089} = 0.0089^{\frac{1}{3}}$$ Using approximation or a calculator, $$0.0089^{\frac{1}{3}} \approx 0.208$$. 4. **Multiply by 65.4:** $$0.208 \times 65.4 = 13.6032$$. 5. **Calculate the square:** $$0.94^2 = 0.94 \times 0.94 = 0.8836$$. 6. **Subtract:** $$13.6032 - 0.8836 = 12.7196$$. **Final answer:** $$12.7196$$