Selected Response: 1 point for correct answer only. Simplify the following expression: sqrt [4](32x^6y^12) 2xy^3sqrt [4](2x^2) 2xy^3sqrt [4](x^2) 8xy^3sqrt [4](x^2) 16xy^3sqrt [4](2x^2)

$\sqrt[4]{32x^6y^{12}} = \sqrt[4]{16 \cdot 2 \cdot x^4 \cdot x^2 \cdot y^{12}} = \sqrt[4]{2^4 \cdot 2 \cdot x^4 \cdot x^2 \cdot (y^3)^4} = 2xy^3\sqrt[4]{2x^2}$<br />Final Answer: The final answer is $\boxed{2xy^{3}\sqrt [4]{2x^{2}}}$<br />