Question

Whats the most simplified version of the expression
`\sqrt{9 { * }^(4) }`

Answer 1

`\sqrt[]{9x^4}`

Let's use the following properties:

`\begin{gathered} \sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b} \\ \sqrt[z]{x^y}=x^{(y)/(z)}^{} \end{gathered}`

so:

`\sqrt[]{9x^4}=\sqrt[]{9}\cdot\sqrt[]{x^4}=3\cdot x^{(4)/(2)}=3x^2`