Using the SNe Ia data we determine the three parameters in the power-law expanding universe model with time-dependent power ( ( 29 ) ) .
Inputting H _ { 0 } and t _ { 0 } , then we find the \dot { a } - t evolution curve with m = 5.0 and q _ { 0 } = -0.90 can fit very well to that from SNe observation data .
The model predicts the transition redshift z \simeq 0.38 .
The dark energy deduced from this model have phantom property but the universe doesn ’ t encounter the Big Rip singularity .
Assuming that this model with the three parameters is valid for the future universe , then we predict that the total energy density of the universe is decreasing and will soon reach its minimum .