anonymous one year ago please help me with this, I don't understand how to do this How can the properties of rational exponents be applied to simplify expressions with radicals or rational exponents?

1. jdoe0001

got expression to simplify?

2. anonymous

no i don't i think its just how to do it but if you have a example to show how to that would help aswell

3. jdoe0001

well... ok... one sec

4. anonymous

okay Thanks

5. jdoe0001

$$\large { \cfrac{\sqrt[3]{3^2}}{\sqrt[3]{3^4}}\impliedby \textit{expression with radicals} \\ \quad \\ \cfrac{\sqrt[3]{3^2}}{\sqrt[3]{3^4}}\implies \cfrac{3^{\frac{2}{3}}}{3^{\frac{4}{3}}}\implies \cfrac{3^{\frac{2}{3}}}{1}\cdot \cfrac{1}{3^{\frac{4}{3}}}\implies 3^{\frac{2}{3}}\cdot 3^{{\color{red}{ -}}\frac{4}{3}} \\ \quad \\ 3^{\frac{2}{3}-\frac{4}{3}}\implies 3^{-\frac{2}{3}}\implies \cfrac{1}{3^{\frac{2}{3}}}\implies \cfrac{1}{\sqrt[3]{3^2}} }$$

6. Future_Einstein