Question

Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]

 

Answer 1

We know from the property of powers that for every natural number a, a⁻¹ = 1/a. Then:

`((1/3)^(-1)-(1/4)^(-1))^(-1)=(3-4)^(-1)`   `->(a^(-1)=1/a)`

`=(-1)^(-1)`

= -1  → (a⁻¹ = 1/a)