Предмет: Алгебра, автор: denisnevirez

Довести, що 25⁷-5¹² ділиться на 24 без остачі СРОЧНО даю 35 балов

Ответы

Автор ответа: Olaf272

Объяснение:

Розглянемо наш вираз, користуємось властивостями степенів: 25⁷=5¹⁴. Маємо вираз:

5¹⁴-5¹² = 5¹²(5²-1) = (25-1) * 5¹² = 24 * 5¹². Маємо множник 24, отже наш вираз націло ділиться на 24

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