Question

Find the value of the given expression:

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

• A. $\frac{3}{8}$
• B. $\frac{-3}{8}$
• C. $\frac{8}{3}$
• D. $\frac{-8}{3}$

Answer 1

Answer: (B)

$\frac{-3}{8}$

${(\frac{3}{4}{)}^{-1}-(\frac{1}{4}{)}^{-1}}^{-1}={\frac{4}{3}-4}^{-1}={\frac{-8}{3}}^{-1}=\frac{-3}{8}$