Предмет: Алгебра, автор: sonya592012

Спростіть вираз (змінні набувають невід’ємних значень) sqrt[6] [p5] sgrt [ p ]

Щиро дякую за допомогу

Приложения:

Ответы

Автор ответа: olegandrejcenko846

Ответ:

$\sqrt[5]{p}$

Объяснение:

$\sqrt[6]{p \sqrt[5]{p} } = \sqrt[6]{p \times p {}^{ \frac{1}{5} } } = \\ = \sqrt[6]{p {}^{1 + \frac{1}{5} } } = \sqrt[6]{p {}^{ \frac{5 + 1}{5} } } = \\ = \sqrt[6]{p {}^{ \frac{6}{5} } } = (p {}^{ \frac{6}{5} } ) {}^{ \frac{1}{6} } = p {}^{ \frac{6}{5} \times \frac{1}{6} } = p {}^{ \frac{1}{5} } = \sqrt[5]{p}$

Вiдповiдь:

$\sqrt[5]{p}$

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Спростіть вираз (змінні набувають невід’ємних значень) sqrt[6] [p5] sgrt [ p ] Щиро дякую за допомогу

Ответы

Спростіть вираз (змінні набувають невід’ємних значень) sqrt[6] [p5] sgrt [ p ]

Щиро дякую за допомогу