[tex]\sqrt[3]a=b\iff b^3=a\\\\\sqrt[3]{\dfrac{125}{216}}=\dfrac{\sqrt[3]{125}}{\sqrt[3]{216}}=\dfrac{5}{6}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{216}=6\ because\ 6^3=216[/tex]
