Question

Solve:
${\left\{{\left(\frac{1}{3}\right)}^{-1}-{\left(\frac{1}{4}\right)}^{-1}\right\}}^{-1}$

Answer 1

Consider the given expression.

${\{{\left(\frac{1}{3}\right)}^{-1}-{\left(\frac{1}{4}\right)}^{-1}\}}^{-1}$

$={\{3-4\}}^{-1}$

$={\{-1\}}^{-1}$

$=\frac{1}{-1}$

$=-1$

Hence, this is the answer.