Mobile devices have become the most important devices in our life. However, they are limited in battery capacity. Therefore, low-power computing is crucial for their long lifetime. A spin-transfer torque RAM (STT-RAM) has become emerging memory technology because of its low leakage power consumption. We herein propose MH cache, a multi-retention STT-RAM-based cache management scheme for last-level caches (LLC) to reduce their power consumption for mobile hardware rendering systems. We analyzed the memory access patterns of processes and observed how rendering methods affect process behaviors. We propose a cache management scheme that measures write-intensity of each process dynamically and exploits it to manage a power-efficient multi-retention STT-RAM-based cache. Our proposed scheme uses variable threshold for a process' write-intensity to determine cache line placement. We explain how to deal with the following issue to implement our proposed scheme. Our experimental results show that our techniques significantly reduce the LLC power consumption by 32% and 32.2% in single- and quad-core systems, respectively, compared to a full STT-RAM LLC.