-4-1 + 8-1 ÷ (2/3)-1 = …………………A) – 1 B) -1/6C) 6

1.	-4-1 + 8-1 ÷ (2/3)-1 = …………………A) – 1 B) -1/6C) 6 D) 1/2
Answer» Correct option is (B) -1/6 \(-4^{-1}+8^{-1}\div(\frac{2}{3})^{-1}\) \(=-\frac14+\left(\frac18\times\left[(\frac{2}{3})^{-1}\right]^{-1}\right)\) \(=\frac{-1}4+\left(\frac18\times(\frac{2}{3})^{-1\times-1}\right)\) \(=\frac{-1}4+\frac18\times\frac{2}{3}\) \(=\frac{-1}4+\frac1{12}\) \(=\frac{-3+1}{12}=\frac{-2}{12}\) \(=\frac{-1}{6}\) Correct option is B) -1/6

-4-1 + 8-1 ÷ (2/3)-1 = …………………A) – 1 B) -1/6C) 6 D) 1/2

Answer»

Correct option is (B) -1/6

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

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

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

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

Correct option is B) -1/6