Exterior power of the direct sum of projective modules

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Can someone please point out to a (quite) detailled proof of the following result ? thanks in advance.

Let $P$, $Q$ be finitely generated projective $R-$modules, of respective rank $n$ and $m$. then we have

$(\bigwedge^n P) \bigotimes_R (\bigwedge^m Q) \cong \bigwedge^{n+m} (P \bigoplus Q) $