Question

Given x>0 and y>0, select the expression that is equivalent to

Answer 1

The expression given is,

$\sqrt{100x^6y^4}$

Therefore,

$\begin{gathered} \sqrt{100x^6y^4}=\sqrt{100}\sqrt{x^6}\sqrt{y^4} \\ \\ Note:\sqrt{100}=10 \\ \sqrt{x^6}=x^3 \\ \sqrt{y^4}=y^2 \\ \\ \therefore\sqrt{100x^6y^4}=10x^3y^2 \end{gathered}$

Hence, the answer is

$10x^3y^2$