Question

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

Answer 1

Answer:

See Explanation

Answer: $\boxed{ {7}^{14}} .50$

Step-by-step explanation:

${7}^{16} + {7}^{14} \\ \\ = {7}^{14} ( {7}^{2} + 1) \\ \\ = {7}^{14} (49 + 1) \\ \\ = {7}^{14}.50$

Since, one factor of ${7}^{16}+ {7}^{14}$ is 50.

Therefore, ${7}^{16}+ {7}^{14}$ is divisible by 50.

Hence proved.