Answer:
By preventing the binding of ADP and Inoganic phosphate to the catalytic part ot ATP synthase.
Explanation:
The ATP synthase its a enzyme complex located at the membrane of mitochondria , that transforms ADP to ATP. To perform this reaction the ATP synthase, needs a gradient of H+. This gradient of H+ is made during electron transport chain. Once the gradient of H+ its made, the H+ passes through the ATP synthase and performs a conformational change to the enzymatic complex. This conformational change enables the catalytic part of the ATP synthase to be exposed, so that it can bind ADP and inorganic phosphate. After this substrates bind, a chemical reaction is performed between ADP and inorganic phosphate. The products of this reaction are ATP and water. Since Fat Away makes mitochondrial membrane permeable to H+, no gradient of H+ is established, and H+ can not pass through the ATP synthase. So no conformational change is made to the ATP synthase, and the catalytic part of the ezyme cant bind ADP and inorganic phosphate, to perform the synthesis of ATP.