Before answering this question it is necessary to consider the three branches of government: the executive, judiciary and the legislature. This enables us to evaluate the checks put on those in power, and thus determine which system is more powerful. The presidential system initially seems more powerful because all executive power is vested in one individual, the president. However, this does not mean he can have free reign. The legislature can override his vetoes while the bureaucracy may disregard his agenda. Conversely, whilst the Prime minister has to share his executive power with the cabinet he experiences fewer checks and balances, as can be seen with the weakening position of the opposition party and House of Lords.
These different concepts will be examined more thoroughly with key terms such as 'collective responsibility' and 'primus inter pares' being discussed.