Question

How do I solve this?

Answer 1

$\bf \sqrt{xy}\sqrt{x^3y^5}\implies \sqrt{xy\cdot x^3y^5}\implies \sqrt{x^1x^3y^1y^5}\implies \sqrt{x^{1+3}y^{1+5}} \\\\\\ \sqrt{x^4y^6}\implies \sqrt{(x^2)^2(y^3)^2}\implies x^2y^3$