Answer
$5x^2|y|^3$
Work Step by Step
$$(25x^4y^6)^{\frac{1}{2}}$$
When an exponential expression is raised to a power, multiply the exponents:
$$=\sqrt{25}x^{(4\times \frac{1}{2})}y^{(6\times \frac{1}{2})}$$
If the index is even, the solution to an expression with a rational exponent is non-negative:
$$=5x^2|y|^3$$