Question

(2/3)-⁶(3/2)-⁴ what is answer

Answer 1

$( { \frac{2}{3} )}^{ - 6} - ({ \frac{3}{2} )}^{ - 4} \\ = ({ \frac{3}{2} )}^{6} - ({ \frac{2}{3}) }^{4} \\ = \frac{ {3}^{6} }{ {2}^{6} } - \frac{ {2}^{4} }{ {3}^{4} } \\ = \frac{729}{64} - \frac{16}{81} \\ = \frac{59049 - 1024}{5184} \\ = \frac{58025}{5184} \\ = 11 \frac{1001}{5184}$

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