Question

What are these Expressions written in radical form?

Answer 1

Remember the following information:

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

Using this information, we can convert all of the expressions into radical form:

$2^{\frac{1}{2}} = \sqrt[2]{2} = \sqrt{2}$

$2^{\frac{2}{3}} = \sqrt[3]{2^2} = \sqrt[3]{4}$

$3^{\frac{3}{2}} = \sqrt[2]{3^3} = \sqrt{27}$

$3^{\frac{1}{3}} = \sqrt[3]{3}$

Our answers are $\boxed{\sqrt{2}, \sqrt[3]{4}, \sqrt{27}, \sqrt[3]{3}}$, respectively.