[tex]1). \frac{ {3}^{56} + {3}^{55} }{ {3}^{54} - {3}^{53} } = \frac{ {3}^{53} ( {3}^{3} + {3}^{2} )}{ {3}^{53} ({3}^{1} - {3}^{0} )} \\ \\ \frac{27 + 9}{3 - 1} = \frac{36}{2} = 18 \: (C) \\ \\ \\ 2). ( \frac{ {3a}^{2} }{4b} ) { }^{ - 3} = ( \frac{ {4b}^{} }{3 {a}^{2} } ) {}^{3} \\ \\ \frac{ {4}^{3} {b}^{3} }{ {3}^{3} {a}^{6} } = \frac{64 {b}^{3} }{27 {a}^{6} } \: (D)[/tex]
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[tex]1). \frac{ {3}^{56} + {3}^{55} }{ {3}^{54} - {3}^{53} } = \frac{ {3}^{53} ( {3}^{3} + {3}^{2} )}{ {3}^{53} ({3}^{1} - {3}^{0} )} \\ \\ \frac{27 + 9}{3 - 1} = \frac{36}{2} = 18 \: (C) \\ \\ \\ 2). ( \frac{ {3a}^{2} }{4b} ) { }^{ - 3} = ( \frac{ {4b}^{} }{3 {a}^{2} } ) {}^{3} \\ \\ \frac{ {4}^{3} {b}^{3} }{ {3}^{3} {a}^{6} } = \frac{64 {b}^{3} }{27 {a}^{6} } \: (D)[/tex]