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12^2
2^5 x 3^5 x (2x2)^2
(2x2x3)^2
2^5 x 3^5 x (2^2)^2
(2^2x3)^2
2^5 x 3^5 x 2^4
2^4x3^2
2^9 x 3^5
2^4 x 3^2
= 2^5 x 3^3