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For quantum deformations of finite-dimensional contragredient Lie (super)algebras we give an explicit formula for the universal .R-matrix. This formula generalizes the analogous formulae for quantized semisimple Lie algebras obtained by M. Rosso, A. N. Kirillov, and N. Reshetikhin, Ya. S. Soibelman, and S. Z. Levendorskii. Our approach is based on careful analysis of quantized rank 1 and 2 (super)algebras, a combinatorial structure of the root systems and algebraic properties of ^-exponential functions. We don't use quantum Weyl group.

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