Question

(-5/9)^-2 × (-3/5)^-3 × (4/5)^-6 Simplify​

Answer 1

${( \frac{ - 5}{9} )}^{ - 2} \times {( \frac{ - 3}{5} })^{ - 3} \times {( \frac{3}{5} )}^{ - 6}$

$\implies{( \frac{ - 9}{5} )}^{ 2} \times {( \frac{ - 5}{3} })^{ 3} \times {( \frac{5}{3} )}^{ 6}$

$\implies{( \frac{ - 9 \times 9}{ 5\times 5} )} \times {( \frac{ - 5 \times 5 \times 5}{3 \times 3 \times 3} }) \times {( \frac{5}{3 } )}^{ 6}$

$\implies{( \frac{ \cancel{- 9} \times \cancel9}{ \bcancel{25}} )} \times {( \frac{ - 5 \times \bcancel{25}}{ \cancel3 \times \cancel9} }) \times {( \frac{5}{3 } )}^{ 6}$

$\implies 3 \times 5\times {( \frac{5}{3 } )}^{ 6}$

$\orange{\therefore \frac{5 ^{7} }{ {3}^{5} } }$