Question

(2/3)^-6 * (3/2)^-4 =?​

Answer 1

Answer:

${ (\frac{2}{3} )}^{ - 6} \times { (\frac{3}{2}) }^{ - 4} \\ = { (\frac{3}{2}) }^{6} \times { (\frac{2}{3}) }^{4} \\ = \frac{ {3}^{6} }{ {2}^{6} } \times \frac{ {2}^{4} }{ {3}^{4} } \\ = \frac{ {(3)}^{6 - 4} }{ {(2)}^{6 - 4} } \\ = \frac{ {3}^{2} }{ {2}^{2} } \\ \boxed{ = \underline{ \underline{ { (\frac{3}{2}) }^{2} }}}$