The Gulf of Tonkin Resolution increased the power of the executive branch by

giving the President authorization, without the approval of the declaration of war by Congress.

Explanation:

The Gulf of Tonkin Resolution increased the power of the executive branch by "giving the President authorization, without the approval of the declaration of war by Congress."

The purpose is to ensure all essential actions are taken swiftly to put a stop to any armed attack against the forces of the United States and to dissuade additional aggression by the communist government in South East Asia, particularly North Vietnam's government.

allowing the president to use military force without a declaration of war by Congress

Explanation:

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whose power in the senate is equal to the power of the speaker of the house?