Question

simplify the given following figure

Answer 1

here is your answer i tried it

Answer 2

$( \frac{5 ^{ - 1} \times {7}^{2} }{ {5}^{2} \times {7}^{ - 4} } )^{ \frac{7}{2} } \times {( \frac{ {5}^{ - 1} \times {7}^{3} }{ {5}^{3} \times {7}^{ - 5} } )}^{ \frac{ - 5}{2} } \\ = ( \frac{ {7}^{6} }{ {5}^{3} } )^{ \frac{7}{2} } \times ( \frac{ {7}^{8} }{ {5}^{4} } ) ^{ \frac{ - 5}{2} } \\ = (\frac{ {7}^{6} }{ {5}^{3} } ) ^{ \frac{7}{2} } \times {( \frac{ {7}^{6} }{5^{3} } ) }^{ \frac{ - 5}{2} } \times ( \frac{ {7}^{2} }{5} ) ^{ \frac{ - 5}{2} } \\ = {( \frac{ {7}^{6} }{ {5}^{3} } )}^{ \frac{7}{2} - \frac{5}{2} } \times {( \frac{ {7}^{2} }{5} )}^{ \frac{ - 5}{2} } \\ = {( \frac{ {7}^{2} }{5} )}^{3} \times {( \frac{ {7}^{2} }{5} )}^{ \frac{ - 5}{2} } \\ = {( \frac{ {7}^{2} }{5} )}^{3 - \frac{5}{2} } = {( \frac{ {7}^{2} }{5} )}^{ \frac{ 1 }{2} } = \frac{7}{ \sqrt{5} }$
Hope this is ur required answer.