math4148 math4148
  • 10-02-2019
  • Mathematics
contestada

Prove that:
7^16+7^14 is divisible by 50.

Respuesta :

jimthompson5910 jimthompson5910
  • 10-02-2019

One trick you could do is factor out the GCF 7^14 and note how 50 is one of the factors left over

7^16 + 7^14 = 7^14(7^2 + 1)

7^16 + 7^14 = 7^14(49 + 1)

7^16 + 7^14 = 7^14*50

Since 50 is a factor of the original numeric expression, this means the original expression is divisible by 50.

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konrad509
konrad509 konrad509
  • 19-06-2019

[tex]7^{16}+7^{14}=7^{14}(7^2+1)=7^{14}\cdot 50[/tex]

Answer Link

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