There is evidence that some biological systems, including the brain, can exhibit scale-invariance, a hallmark of a complex system. Scale-invariant behavior reflects the tendency of a complex system to develop organized complexity with both temporal and spatial long-range correlation structures. This study investigates the scale-invariant characteristics of the dynamics of the brain of subjects with epilepsy. Electrocorticogram (ECoG) recordings obtained during different pathological brain states and from different regions of the brain are examined in terms of the spectral exponent using computational analysis based on the wavelet-based representation for 1/f processes. The spectral exponent is moreover validated and compared to the Hurst exponent. Computational results show that the brain of subjects with epilepsy exhibits considerably different scale-invariant characteristics corresponding to the pathological state of the brain. Particularly, the behavior of the brain during seizure activity tends to have shorter-range correlation than that during non-seizure periods.