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