Answer
The answer is $2xy^2\sqrt[3] {2y}$.
Work Step by Step
The given expression is
$\sqrt[3] {4x^2y^5}\cdot \sqrt[3] {4xy^2}$
By using power rule {$a^n\cdot b^n = (a\cdot b)^n$}
$\sqrt[3] {4x^2y^5 \cdot 4xy^2}$
Add powers of the like terms.
$\sqrt[3] {16x^3y^7}$
Rearrange.
$\sqrt[3] {2^3\cdot 2x^3y^6\cdot y}$
Simplify.
$2xy^2\sqrt[3] {2y}$.
