Negative indices

\[\large \left (\dfrac {3^{-1} + 2^{-2}}{2^{-1} + 3^{-2}} \right )^{-1}\]

If the above expression can be simplified as \(\dfrac {a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

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