  The increasing life expectancy enhances the importance of mortality
forecasting. Most developing nations, including Tanzania, forecast mortality
rates using static life tables. However, these tables exaggerate death
probabilities by neglecting the declining mortality rate trend over time. This
paper develops a mortality rate model based on a power exponential function,
accounting for age and time variations and providing direct forecasts without
methods of forecasting. The model accurately predicted mortality rates from
2023 to 2034 using Tanzanian data. To assess stability and reliability, a
Bayesian method was employed, and numerical results revealed a close alignment
between the model's forecasts and Bayesian predictions.
