Question

81/16^-3/4 simplify ​

Answer 1

Answer:

$\frac{8}{27}$

Step-by-step explanation:

$= { (\frac{81}{16}) }^{ \frac{ - 3}{4} }$

$= {( \frac{ {3}^{4} }{ {2}^{4} }) }^{ \frac{ - 3}{4} }$

$= {(( { \frac{3}{2} })^{4} })^{ \frac{ - 3}{4} }$

$= { (\frac{3}{2} })^{ - 3}$

$= { (\frac{2}{3}) }^{3}$

$= \frac{8}{27}$