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