Answer
$5x^{2}y^{3}$
Work Step by Step
Raising each term in the expression to the power of $\frac{1}{2}$ and then simplifying, we obtain:
$(25x^{4}y^{6})^{\frac{1}{2}}$
$=(25)^{\frac{1}{2}}\times (x^{4})^{\frac{1}{2}}\times(y^{6})^{\frac{1}{2}}$
$=(5^{2})^{\frac{1}{2}}\times (x^{4})^{\frac{1}{2}}\times(y^{6})^{\frac{1}{2}}$
$=5\times (x^{\frac{1}{2}\times4})\times(y^{\frac{1}{2}\times6})$
$=5\times (x^{2})\times(y^{3})$
$=5x^{2}y^{3}$
