No. One might have the power to do something, but lack the ability. And one might have the ability to do something, but lack the power.
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Ability is your skill or talent. Or power /capacity to do something.
ability, strength, rule
Anything to the power of 1 is still the same, so the answer is still the same.
Four examples of power: The ability of drug companies to prevent re-importation of drugs from foreign countries. The ability of banks to get billions of dollars in government bailout after making investment mistakes. The ability of insurance companies to block a public option. The ability of corporate executives to pay themselves millions in bonuses while their companies are losing money.
No.