Question

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

Answer 1

$a^\frac{n}{m}=\sqrt[m]{a^n}\\\\27^\frac{2}{3}=\sqrt[3]{27^2}=\sqrt[3]{27\cdot27}=\sqrt[3]{27}\cdot\sqrt[3]{27}=3\cdot3=\boxed{9}\\------------------------\\\sqrt[3]{27}=3\ because\ 3^3=27$

Answer 2

$27^{\frac{2}{3}} = \sqrt[3]{27^{2}} = \sqrt[3]{729} = 9$