[tex]36. {8}^{9} \div ( - 9 \frac{1}{5} {)}^{9} = 36. {8}^{9} \div ( - (9 \frac{1}{5} {)}^{9} ) = - 36. {8}^{9} \div (9 \frac{1}{5} {)}^{9} = - (36.8 \div 9 \frac{1}{5} {)}^{9} = - ( \frac{184}{5} \div \frac{46}{5} {)}^{9} = - ( \frac{184}{ \not5} \times \frac{ \not5}{46} {)}^{9} = - ( \frac{184}{1} \times \frac{1}{46} {)}^{9} = \boxed{- {4}^{9} }[/tex]
