1. The problem asks us to evaluate the cube root of the expression $$64 \times 10^{12}$$. 2. The formula for the cube root of a product is $$\sqrt[3]{a \times b} = \sqrt[3]{a} \times \sqrt[3]{b}$$. 3. We apply this to our problem: $$\sqrt[3]{64 \times 10^{12}} = \sqrt[3]{64} \times \sqrt[3]{10^{12}}$$. 4. Calculate each cube root separately: - $$\sqrt[3]{64} = 4$$ because $$4^3 = 64$$. - $$\sqrt[3]{10^{12}} = 10^{\frac{12}{3}} = 10^4$$. 5. Multiply the results: $$4 \times 10^4$$. 6. Therefore, the value of $$\sqrt[3]{64 \times 10^{12}}$$ is $$4 \times 10^4$$. Final answer: **4 x 10^4**