Many non-native speakers says:
Someone has a good / bad memory power.
Someone has a good / bad memory.
Which is more appropriate to native speakers?
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"Memory" is, by definition, a kind of "power", at least in the sense of "ability":
memory (n): The faculty by which the mind stores and remembers information.
"Memory power" is therefore redundant and not normally idiomatic:
He has a good memory for faces
If you want to use the word "power" then the "power of recollection" would be fine (often used in the plural):
He has amazing powers of recollection when it comes to the details of his childhood.
To native speakers of British, Australian or US American English, "memory…" would be appropriate… never "memory power…". I venture no view on speakers from other regions.
"Power of memory" might work and in 60 years of listening, I've never once noticed "memory power" in speech or writing.
Since you mentioned it, where does "Many non-native speakers says: 'Someone has a good / bad memory power' " come from, please? Which non-native speakers do you have in mind?