Why did the federal list believe that the constitution would prevent the national government from gaining too much power

The government was divided into three branches, judicial, legislative, and executive.  The federalist believed that the national government should take care of everything and have the ultimate authority, but the constitution limited what the branches could do, therefore, the federalist believed that the constitution gave the national government too much power. The Anti-Federalist argued that the constitution gave too much power to the federal government. The Federalist believed that the nation might not survive without the passing of the constitution, and that a stronger national government was necessary after the Articles of Confederation failed. 

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It divided the federal government into three branches.

Explanation:

congress also has implied powers, which derive from the necessary and proper clause of the constitution and permit congress "to make all laws which shall be necessary and proper for carrying into execution the foregoing powers, and all other powers vested by this constitution in the government of the united states.

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