Предмет: Математика, автор: karamelka9812

докажите что 49 в 8 степени +7 в 14 степени делится на 50​

Ответы

Автор ответа: mawos
0

49^{8}+7^{14}=(7^2)^{8}+7^{14}=7^{2*8}+7^{14}=7^{16}+7^{14}=7^{14}*(1+7^2)=7^{14}*(1+49)=7^{14}*50

Таким образом, значение этого выражения действительно делится на 50

Автор ответа: viktoriya602602
0

Відповідь:

Покрокове пояснення:  49^8+7^14=7^16+7^14=7^14*(7^2+1)=7^14*50.

В произведении есть множитель 50.  Значит это произведение делится на 50.

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