Question

solve this..............​

Answer 1

Here is your answer user.

Answer 2

SOLUTION:-

$\implies \sf \bigg( \frac{256}{625} \bigg) {}^{ \frac{ - 3}{4} } \times \bigg( \frac{81}{16} \bigg) {}^{ \frac{ - 3}{2} } \div \bigg(\frac{9}{2} \bigg) {}^{ - 3}$

$\implies \sf \frac{{(256)} {}^{ \frac{ - 3}{ \: 4} }} {(625) {}^{ \frac{ - 3}{ \: 4} } } \times \frac{(81) {}^{ \frac{ - 3}{ \: 2} } }{{(16)} {}^{ \frac{ - 3}{2} }} \div \frac{(9) {}^{ - 3} }{(2 ){}^{ - 3} }$

$\implies \sf \frac{(14) {}^{2 \times \frac{ - 3}{ \: 4} } }{(25) {}^{2 \times \frac{ - 3}{ \: 4} } } \times \frac{(9) {}^{2 \times \frac{ - 3}{ \: 2} } }{(4) {}^{2 \times \frac{ - 3}{ \: 2} } } \div \frac{(9) {}^{ - 3} }{(2 ){}^{ - 3} }$

$\implies \sf \frac{(14) {}^{ \frac{ - 3}{ \: 2} } }{(25) {}^{ \frac{ - 3}{ \: 2} } } \times \frac{(9) {}^{ - 3} }{(2) {}^{ - 3} } \times \frac{(2) {}^{ - 3} }{(9) {}^{ - 3} }$

$\implies \sf \frac{(14) {}^{ \frac{ - 3}{ \: 2} } }{(25) {}^{ \frac{ - 3}{ \: 2} } } \times \frac{ \cancel{(9) {}^{ - 3} }}{ \cancel{(2) {}^{ - 3} }} \times \frac{ \cancel{(2) {}^{ - 3}} } { \cancel{(9) {}^{ - 3} } }$

$\implies \sf \frac{(14) {}^{ \frac{ - 3}{ \: 2} } }{(25) {}^{ \frac{ - 3}{ \: 2} } }$

$\implies \sf \bigg( \frac{14}{25} \bigg) {}^{ \frac{ - 3}{ \: 2} }$

Hence,simplified