Components
酬う is an exact match with one form of the following word:
報う
BOOST
Reading : むくう   
'u' godan verb, transitive verb
to reward; to recompense; to repay  (see also: 報いる)
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My current mastery of 報う:
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My flashcards:
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Usefulness and usage:
Kanshudo usefulness level: 7 (among the 20,000 most useful words in Japanese)
• Kanshudo usefulness level is based on a usefulness score of 65,196 which gives a rank of 14,039
報う is the most useful form. 2 additional forms are shown below.
• This form is used about 90% of the time
• Google Japan frequency rank: 42,000 (about 12,600,000 results)
• This form appears in the 24,000 words in the Mainichi Shimbun frequency analysis by Alexandre Girardi
• This form is in band 20 in the EDICT word frequency file (bands go from 1-48, where 1 is most common - each contains about 500 words)
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Example sentences:
だいじょうぶ
大丈夫
せいじつ
誠実
いれば
さいご
最後
むく
われる

I can assure you that honesty pays in the long run.
せいじつ
誠実
いれば
さいご
最後
むく
われる
という
ぼく
しんねん
信念

It is my belief that sincerity will be rewarded in the end.
しょうり
勝利
によって
かのじょ
彼女
どりょく
努力
むく
われた

Her efforts were crowned with victory.
むくう
BOOST
My flashcards:
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Usefulness and usage:
• This form is rarely used
• Google Japan frequency rank: 154,000 (about 530,000 results)
• This form appears in the 24,000 words in the Mainichi Shimbun frequency analysis by Alexandre Girardi
• This form is in band 20 in the EDICT word frequency file (bands go from 1-48, where 1 is most common - each contains about 500 words)
VIEW INFLECTIONS
酬う
BOOST
Reading : むくう   
My flashcards:
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Usefulness and usage:
• This form is rarely used
• Google Japan frequency rank: 185,000 (about 373,000 results)
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ホウ    report   むくいる to compensate, remunerate   むく reward, recompense   
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コウ   さち    しあわ    さいわ happiness   
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ド   ト   ground; earth   つち ground, earth, soil   
sealed up again
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seal
また again   
シュウ    reward, repayment   
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sake flask   とり sign of the bird   
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西
セイ   サイ   にし west   
イチ   イツ   ひと    ひと- one   
シュウ    state, province, county   す sandbank   
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セン   かわ river   
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katakana 'no'; whereupon; splitting away from
stick   
dot   
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