manaspercy
manaspercy manaspercy
  • 03-02-2019
  • Mathematics
contestada

Please help me! I really need to get this right before 9. Please prove the divisibility of 7^6+7^5-7^4 by 11. Use factoring so you get a number times 11. Just please tell me the number. I need this done asap

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LammettHash
LammettHash LammettHash
  • 04-02-2019

Notice that

[tex]7^6+7^5-7^4=7^4(7^2+7-1)=7^4\cdot55=7^4\cdot5\cdot11[/tex]

so the number you're looking for is [tex]7^4\cdot5=12005[/tex].

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