Tolong dijawab obsen c beserta langkah-langkanya

Tolong dijawab obsen c beserta langkah-langkanya

$frac{ {8}^{ - frac{4}{3} } : {9}^{ frac{1}{2} } }{ {32}^{ - 1} : {27}^{ - frac{2}{3} } } \$

$= frac{ {2}^{ - 4} times ( {3}^{2} {)}^{ frac{1}{2} } }{ {2}^{ - 5} times {27}^{ - frac{2}{3} } }$

$= frac{2 times 3}{ {27}^{ - frac{2}{3} } }$

$= frac{6}{ {27}^{ - frac{2}{3} } }$

$= 6 times {27}^{ frac{2}{3} }$

$= 6 times ( {3}^{3} {)}^{ frac{2}{3} }$

$= 6 times {3}^{2}$

$= 6 times 9$

$= 54$