I believe that the president is an important figure, not for their 'decisions' but for the American people to look to as a leader. Under 'checks and balances' the United States president leads the executive branch of the government, is commander and chief of the united states military and has control of the nuclear arsenal. While this may seem like a lot of power it is evident that no decision is in complete control of the president. The real power is congress. They are the decision makers. Also, the president's cabinet plays a large roll in the Presidents decision making. They advice almost all decisions the president can make. The president is who the people look to for guidance even though the overall effect of the president is low.
A commander-in-chief is the person or body exercising supreme operational command and control of a nation's military forces or significant elements of those forces. He/she doesn't have the power to declare war however he/she can create great military conflict by actually sending troops overseas. The president also has the power of executive agreement where the president also has the power to make deals with the head of one country without permission from the senate. Not to forget the power of Executive order: to help officers and agencies of the executive branch manage the operations within the federal government itself
While the president can do all of those things. In all, the real power is congress. They, along with the cabinet, govern most of the decisions made by the president. If the president does become too far out of control he is stressed by officials into resigning. Ex: President Nixon. The president can exercise his permissions, yes. The executive orders he makes can only be in place for 30 days until congress can ratify them. He can also not make laws. The president is no more than a easy decision maker. The controversial matter are left to congress and the senate. But most of all the people of the United States. They just need a person to follow.