In this paper, we consider a simple form of expansion history of Universereferred to as the hybrid expansion law - a product of power-law andexponential type of functions. The ansatz by construction mimics the power-lawand de Sitter cosmologies as special cases but also provides an elegantdescription of the transition from deceleration to cosmic acceleration. Wepoint out the Brans-Dicke realization of the cosmic history underconsideration. We construct potentials for quintessence, phantom and tachyonfields, which can give rise to the hybrid expansion law in general relativity.We investigate observational constraints on the model with hybrid expansion lawapplied to late time acceleration as well as to early universe a lanucleosynthesis.
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