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Найдите значение выражения \( \frac{a^{5,96} \cdot a^{2,4}}{a^{5,36}} \) при \( a=6 \). Ответ:

Ask by Ryan Ramos. in Russia
Mar 15,2025

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\( 216 \)

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Чтобы найти значение выражения \( \frac{a^{5,96} \cdot a^{2,4}}{a^{5,36}} \), сначала упростим его с использованием свойств степеней: \[ \frac{a^{5,96} \cdot a^{2,4}}{a^{5,36}} = \frac{a^{5,96 + 2,4}}{a^{5,36}} = \frac{a^{8,36}}{a^{5,36}} = a^{8,36 - 5,36} = a^{3} \] Теперь подставим значение \( a = 6 \): \[ a^{3} = 6^{3} = 216 \] Таким образом, значение выражения равно 216.

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