The phrase "a power that cannot" is correct and usable in written English.
It can be used when discussing an ability or force that is unable to perform a specific action or achieve a certain outcome.
Example: "In the face of adversity, there exists a power that cannot be easily extinguished."
Alternatives: "an ability that cannot" or "a force that cannot".
Campaigners say it is a power that cannot be exercised.
The work of his Cubist years may be more formally rigorous, but the expressiveness of his later work has a power that cannot be denied.
In our conflict with terror and tyranny, we have an unmatched advantage, a power that cannot be resisted, and that is the appeal of freedom to all mankind.
If the power of attorney purports to transfer a power that cannot be transferred under the law, that part of the power of attorney is void.
These passages suggest that Locke takes freedom to be (something intimately related to) the power to suspend our desires, a power that cannot simply be identified with the two-way power that Locke identifies with freedom of action at II.xxi.8 ff.
After all, it is hardly a secret that North Korea is now a nuclear power that cannot be counted on to act responsibly with its weapons (i.e. not use them).
Second, a driver provides an explanatory power that cannot be replaced by any other drivers.
In books characters are named to fit their personalities, but in real life our parents give us names at birth that hold a fateful power that cannot be evaded, no matter how many clever nicknames are adopted.
The calculus is complicated by India's need to project itself as a world power that cannot be seen as doing nothing in the face of the terrorist attack that killed 163 people, including nearly two dozen foreigners, in Mumbai a month ago.
With the right evidence — for example, the condom used by a rapist — DNA tests have a truth-telling power that cannot be matched.
Low thrust engines are particularly attractive due to their high specific impulse, but they require a high electrical power that cannot be delivered by onboard batteries.
