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i believe hydrolysis of ATP is exergonic because cleaving a high energy phosphate bond releases energy that is used to drive biosynthetic processes. The main function of ATP in the cell is to act as the energy supplier, so it should be intuitive that hydrolysis of ATP releases energy. I don't know why TopScore would say otherwise.
Hmmm...Perhaps he/she is referring to the net energy change!Breaking a bond requires energy, making a bond releases energy. So it is incorrect to say 'cleaving a high energy phosphate bond releases energy'. The extra energy actually comes from the reaction of hydrolysis.