Question

(81/16)^-3/4 × (25/9)^-3/2 ÷ (5/2)^-3

Answer 1

(81/16)^-3/4 × (25/9)^-3/2 ÷ (5/2)^-3=0.00070233196

Answer 2

$\huge\underline\mathbb\blue{ANSWER}$

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

hope it's helpful ✅✅✅