Answered

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

Prove That 7167 14 Is Divisible By 50 class=

Sagot :

Hrishii

Answer:

See Explanation

Answer: [tex] \boxed{ {7}^{14}} .50[/tex]

Step-by-step explanation:

[tex]{7}^{16} + {7}^{14} \\ \\ = {7}^{14} ( {7}^{2} + 1) \\ \\ = {7}^{14} (49 + 1) \\ \\ = {7}^{14}.50[/tex]

Since, one factor of [tex] {7}^{16}+ {7}^{14}[/tex] is 50.

Therefore, [tex] {7}^{16}+ {7}^{14}[/tex] is divisible by 50.

Hence proved.

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