There is no "inherent presidential power; the president may act only if there is express constitutional authority.
The president has "inherent" authority unless the president interferes with the functioning of another branch of government or usurps the power of another branch.
The president may exercise powers not mentioned in the Constitution so long as the president does not violate what congress wants or the constitution.
The president has "inherent" powers that may not be restricted by Congress and may act unless the Constitution is violated.