Question

pls solve the probem with method

Answer 1

$\sf{Given \ :}$


$\sf{ {[ {({\dfrac{3}{4}})}^{- 1} - {({\dfrac{1}{4}})}^{- 1} ]}^{- 1} }$


${\boxed{\sf{ {(a)}^{- 1} = {\dfrac{1}{a}} }}}$


$\therefore$


→ $\sf{ {[{\dfrac{4}{3}} - 4]}^{- 1} }$


→ $\sf{ {[{\dfrac{4 - 12}{3}}]}^{- 1}}$


→ $\sf{ {[{\dfrac{- 8}{3}}]}^{- 1}}$


→ $\sf{ {\dfrac{- 3}{8}} }$


$\sf{Hence, \ Correct \ Option \ is \ c. \ {\dfrac{- 3}{8}}.}$