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theanimalside
theanimalside theanimalside
  • 23-01-2017
  • Mathematics
Answered

Prove the divisibility of the following numbers: 7^6+7^5−7^4 by 11

Verified Answer :

LammettHash
LammettHash LammettHash
  • 23-01-2017

\(7^6+7^5-7^4=7^4(7^2+7-1)=7^4(49+7-1)=7^4\times55\)

Since \(11|55\), it follows that \(11|7^6+7^5-7^4\).

Answer Link
gamingbeast015 gamingbeast015
  • 07-03-2021

Answer:

7^4 5

Step-by-step explanation:

7^6+7^5-7^4 = 7^4(7^2+7-1) = 7^4(55), 55/5 = 11, 7^4 5 = 55/5, 7^4 * 5 by 11

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