Question

-4^-1 + 8^-1 ÷ (2/3)^-1 = …………………

A) – 1 

B)  -1/6

C) 6 

D) 1/2

Answer 1

Correct option is (B)  -1/6

\(-4^{-1}+8^{-1}\div(\frac{2}{3})^{-1}\) \(=-\frac14+\left(\frac18\times\left[(\frac{2}{3})^{-1}\right]^{-1}\right)\)

\(=\frac{-1}4+\left(\frac18\times(\frac{2}{3})^{-1\times-1}\right)\)

\(=\frac{-1}4+\frac18\times\frac{2}{3}\) \(=\frac{-1}4+\frac1{12}\)

\(=\frac{-3+1}{12}=\frac{-2}{12}\) \(=\frac{-1}{6}\)

Answer 2

Correct option is  B)  -1/6