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МатематикаВопрос:
22. \(\frac{3^7 \cdot 3^4 \cdot 11}{3^7 \cdot 3^3}\).
Ответ:
Решение:
Используем свойства степеней \( a^m \cdot a^n = a^{m+n} \) и \( \frac{a^m}{a^n} = a^{m-n} \).
\[ \frac{3^{7+4} \cdot 11}{3^{7+3}} = \frac{3^{11} \cdot 11}{3^{10}} \]
\[ 3^{11-10} \cdot 11 = 3^1 \cdot 11 = 3 \cdot 11 = 33 \]
Ответ: 33
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