Question

Does anyone know the answer to the following question: 27^2/3 ????

Answer 1

`27^{(2)/(3)} = \sqrt[3]{27^(2)} = \sqrt[3]{729} = 9`

Answer 2

`a^(n)/(m)=\sqrt[m]{a^n}\\\\27^(2)/(3)=\sqrt[3]{27^2}=\sqrt[3]{27\cdot27}=\sqrt[3]{27}\cdot\sqrt[3]{27}=3\cdot3=\boxed{9}\\------------------------\\\sqrt[3]{27}=3\ because\ 3^3=27`