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Prove the divisibility of the following numbers:

Problem A: 8^10−8^9−8^8 by 55 = ? * 55

Problem B: 81^7−27^9−9^13 by 45 = ? *45

User Sean Quinn
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1 Answer

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8^(10)-8^9-8^8=8^8(8^2-8-1)=8^8(55)


81^7-27^9-9^(13)=3^(28)-3^(27)-3^(26)=3^(26)(3^2-3-1)=3^(26)(5)=3^(24)(45)
User Volotoka
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