Question

(81/ 16)^-3/4×25/9^-3/2÷5/2^-3​

Answer 1

Step-by-step explanation:

$= {( \frac{ 81 }{ 16 } )}^{ \frac{ - 3}{4} } \times \frac{ \frac{25}{ {(9)}^{ \frac{ - 3}{2} } } }{ \frac{5}{ {2}^{ - 3} } } \\ = {( \frac{ {(3)}^{4} }{ {(2)}^{4} } )}^{ \frac{ - 3}{4} } \times \frac{ \frac{5}{ {3}^{ 2 \times \frac{( - 3)}{2} } } }{ \frac{1}{ {2}^{ - 3} } } \\ = {( \frac{3}{2} )}^{ 4 \times \frac{ - 3}{4} } \times \frac{ \frac{5}{ {3}^{ - 3 } } }{ \frac{1}{ {2}^{ - 3} } } \\ = { (\frac{3}{2} )}^{ - 3} \times \frac{5 \times {3}^{3} }{ {2}^{3} } \\ = \frac{ {2}^{ 3} }{ {3}^{3} } \times \frac{5 \times {3}^{3} }{ {2}^{3} } \\ = 5$

HOPE THIS HELPS

MARK ME BRAINLIEST