2. Write in radical form: \( 2.1 x^{\frac{3}{5}} \) \( 226 x^{\frac{1}{4}} \) 2.3. \( \left(3 x^{2}\right)^{\frac{2}{3}} \)

Certainly! Here are the expressions written in radical form: ### Problem 2 #### 2.1. \( x^{\frac{3}{5}} \) \[ x^{\frac{3}{5}} = \sqrt[5]{x^{3}} = \left(\sqrt[5]{x}\right)^{3} \] #### 2.2. \( 226 x^{\frac{1}{4}} \) \[ 226 x^{\frac{1}{4}} = 226 \sqrt[4]{x} \] #### 2.3. \( \left(3 x^{2}\right)^{\frac{2}{3}} \) \[ \left(3 x^{2}\right)^{\frac{2}{3}} = \sqrt[3]{\left(3 x^{2}\right)^{2}} = \sqrt[3]{9 x^{4}} = \left(\sqrt[3]{3 x^{2}}\right)^{2} \] --- **Summary of Radical Forms:** 1. \( x^{\frac{3}{5}} = \sqrt[5]{x^{3}} \) 2. \( 226 x^{\frac{1}{4}} = 226 \sqrt[4]{x} \) 3. \( \left(3 x^{2}\right)^{\frac{2}{3}} = \sqrt[3]{9 x^{4}} \) Feel free to choose the form that best fits your needs!