Answer
$(2x+y^2)\sqrt[3]{x}$
Work Step by Step
Simplify. $\sqrt[3] {8x^4} +\sqrt[3] {xy^6}$
Therefore, $\sqrt[3] {8x^4} +\sqrt[3] {xy^6}=\sqrt[3] {8x^3 \cdot x} +\sqrt[3] {x \cdot y^6}$
or, $=2x \sqrt[3]{x} +y^2\sqrt[3]{x}$
Thus, the given radical term can be written as:$(2x+y^2)\sqrt[3]{x}$