Question

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

Answer 1

The expression given is,

`√(100x^6y^4)`

Therefore,

`\begin{gathered} √(100x^6y^4)=√(100)√(x^6)√(y^4) \\ \\ Note:√(100)=10 \\ √(x^6)=x^3 \\ √(y^4)=y^2 \\ \\ \therefore√(100x^6y^4)=10x^3y^2 \end{gathered}`

Hence, the answer is

`10x^3y^2`