Question

Instructions: Write the expression in radical form. The √ symbol is the same as a square root.

Answer 1

`\begin{gathered} x^{(4)/(3)}=\text{ }\sqrt[3]{x^4} \\ x^{(3)/(4)}=\sqrt[4]{x^3} \end{gathered}`

Step-by-step explanation

Given:

`\begin{gathered} 1.\text{ }x^{(4)/(3)} \\ 2.\text{ }x^{(3)/(4)} \end{gathered}`

Desired Outcome:

Radical form

From the laws of indices

`a^{(m)/(n)}=\sqrt[n]{a^m}`

Hence,

`\begin{gathered} x^{(4)/(3)}=\text{ }\sqrt[3]{x^4} \\ x^{(3)/(4)}=\sqrt[4]{x^3} \end{gathered}`