Answer
$8x^2y^3\sqrt {y}$.
Work Step by Step
The given expression is
$=\sqrt {32xy^2}\cdot \sqrt {2x^3y^5}$
Use the product rule.
$=\sqrt {32xy^2\cdot 2x^3y^5}$
Multiply using power rule.
$=\sqrt {64x^4y^7}$
Factor the radicands as a perfect square.
$=\sqrt {8^2(x^2)^2(y^3)^2y}$
Simplify.
$=8x^2y^3\sqrt {y}$.
