Respuesta :

ANSWER

[tex]\begin{gathered} x^{\frac{4}{3}}=\text{ }\sqrt[3]{x^4} \\ x^{\frac{3}{4}}=\sqrt[4]{x^3} \end{gathered}[/tex]

EXPLANATION

Given:

[tex]\begin{gathered} 1.\text{ }x^{\frac{4}{3}} \\ 2.\text{ }x^{\frac{3}{4}} \end{gathered}[/tex]

Desired Outcome:

Radical form

From the laws of indices

[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]

Hence,

[tex]\begin{gathered} x^{\frac{4}{3}}=\text{ }\sqrt[3]{x^4} \\ x^{\frac{3}{4}}=\sqrt[4]{x^3} \end{gathered}[/tex]