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[tex] {32}^{ \frac{3}{5} } + {16}^{ - \frac{1}{4} } - {8}^{ - \frac{2}{3} } \\ = ( {2}^{5} {)}^{ \frac{3}{5} } + \frac{1}{( {2}^{4} {)}^{ \frac{1}{4} } } - \frac{1}{ ({2}^{3} {)}^{ \frac{2}{3} } } \\ = {2}^{3} + \frac{1}{ {2}^{1} } - \frac{1}{ {2}^{2} } \\ = 8 + \frac{1}{2} - \frac{1}{4} \\ = \frac{32 + 2 - 1}{4} \\ = \frac{33}{4} [/tex]