Question

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

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

`\sqrt{-36x^6y^(14)}`

Step 02:

simplify the expression:

`\begin{gathered} \sqrt{-36x^6y^(14)}=\text{ }\pm√(36)√(x^6)\sqrt{y^(14)}√(-1) \\ \\ \text{ } \end{gathered}`
`\begin{gathered} \sqrt{-36x^6y^(14)}=\text{ }\pm6\text{ x}^{\text{ 3}}\text{ y}^7\text{ i} \\ \\ \text{ } \end{gathered}`

The answer is:

± 6 x^3 y^7 i