Question

Simplify Please solve it

Answer 1

$= \frac{ {36}^{ \frac{ - 3}{2} } - {36}^{ \frac{ - 9}{2} } }{ {36}^{ \frac{ - 5}{2} } } \\ = \frac{ { ({6}^{2} )}^{ \frac{ - 3}{2} } - { ({6}^{2} )}^{ \frac{ - 9}{2} } }{ { ({6}^{2} })^{ \frac{ - 5}{2} } } \\ = \frac{ { ({6} )}^{ \frac{ - 3 \times 2}{2} } - { ({6})}^{ \frac{ - 9 \times 2}{2} } }{ { ({6}})^{ \frac{ - 5 \times 2}{2} } } \\ = \frac{ {6}^{ - 3} - {6}^{ - 9} }{ {6}^{ - 5} } \\ = \frac{ {6}^{ - 3}(1 - {6}^{ - 6} ) }{ {6}^{ - 5} } \\ = \frac{1 - {6}^{ - 6} }{ {6}^{ - 2} } \\ = \frac{1 - \frac{1}{ {6}^{6} } }{ \frac{1}{ {6}^{2} } } \\ = \frac{ {6}^{6} - 1}{ {6}^{4} } \\ = \frac{46656 - 1}{1296} \\ = \frac{46655}{1296}$