Question

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

Answer 1

See Explanation

Answer:
`\boxed{ {7}^(14)} .50`

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.