[tex]\dfrac{1}{\sqrt[3]{36}} =\dfrac{1}{\sqrt[3]{36}}\cdot \dfrac{\sqrt[3]{36\cdot 36} }{\sqrt[3]{36\cdot 36} } =\dfrac{\sqrt[3]{36\cdot 36}}{\sqrt[3]{36} \cdot \sqrt[3]{36\cdot 36}} =\dfrac{\sqrt[3]{36\cdot 36}}{\sqrt[3]{36\cdot 36\cdot 36} } =\dfrac{\sqrt[3]{6\cdot 6\cdot 6\cdot 6} }{\sqrt[3]{36^{3} } } =\dfrac{\sqrt[3]{6^{3} \cdot 6} }{36} =\dfrac{6\sqrt[3]{6} }{36} =\dfrac{\sqrt[3]{6} }{6}[/tex]
