Step-by-step explanation:
[tex]( \frac{ {18}^{ \frac{1}{4} } }{ {9}^{ \frac{1}{4} } } )^{3} \\ = \frac{1}{ (\frac{ {18}^{ \frac{1}{4} } }{ {9}^{ \frac{1}{4} } })^{3} } \\ = \frac{1}{ \frac{18^{ \frac{3}{4} } }{ {9}^{ \frac{3}{4} } } } \\ = \frac{ {9}^{ \frac{3}{4} } }{18^{ \frac{3}{4} } } \\ = \frac{ \sqrt[4]{ {9}^{3} } }{ \sqrt[4]{ {18}^{3} } } \\ = \frac{ \sqrt[4]{729} }{ \sqrt[4]{5832} } \\ = 0.5946[/tex]
