[tex] \large {\frac{ {2}^{8} \times {9}^{3} }{ {8}^{2} \times {3}^{9} } = \frac{ {2}^{8} \times ( {3}^{2} {)}^{3} }{( {2}^{3} {)}^{2} \times {3}^{9} } = \frac{ {2}^{8} \times {3}^{6} }{ {2}^{6} \times {3}^{9} } = \frac{ {2}^{2} \times \not {2}^{6} \times \not {3}^{6} }{ \not{2}^{6} \times {3}^{3} \times \not {3}^{6} } = \frac{ {2}^{2} }{ {3}^{3} } = \frac{4}{27} }[/tex]
