theanimalside theanimalside

23-01-2017
Mathematics

contestada

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

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LammettHash LammettHash

23-01-2017

[tex]7^6+7^5-7^4=7^4(7^2+7-1)=7^4(49+7-1)=7^4\times55[/tex]

Since [tex]11|55[/tex], it follows that [tex]11|7^6+7^5-7^4[/tex].

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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