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Question
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Sum
Solution
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1} = \left( \frac{1}{2} + \frac{1}{3} \right)^{- 1} {\to (a}^{- 1} = 1/a) \]
\[ = \left( \frac{5}{6} \right)^{- 1} = \frac{6}{5} {\to (a}^{- 1} = 1/a)\]
\[ = \left( \frac{5}{6} \right)^{- 1} = \frac{6}{5} {\to (a}^{- 1} = 1/a)\]
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