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We present an analysis of a scalar field model of dark energy with anexponential potential using the Dark Energy Task Force (DETF) simulated datamodels. Using Markov Chain Monte Carlo sampling techniques we examine theability of each simulated data set to constrain the parameter space of theexponential potential for data sets based on a cosmological constant and aspecific exponential scalar field model. We compare our results with theconstraining power calculated by the DETF using their ``$w_0-w_a$''parametrization of the dark energy. We find that respective increases inconstraining power from one stage to the next produced by our analysis giveresults consistent with DETF results. To further investigate the potentialimpact of future experiments, we also generate simulated data for anexponential model background cosmology which can not be distinguished from acosmological constant at DETF ``Stage 2'', and show that for this cosmologygood DETF Stage 4 data would exclude a cosmological constant by better than3$\sigma$.

Exploring Parameter Constraints on Quintessential Dark Energy: The Exponential Model