To simplify ((3n 2m)^2), first apply the exponent to both the coefficients and the variables:
[ (3n \cdot 2m)^2 = (3 \cdot 2)^2 (n)^2 (2m)^2 = 6^2 (n^2)(m^2) = 36n^2m^2. ]
Thus, the simplified expression is (36n^2m^2).
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