[tex]a)\ \ (\frac{9}{11})^3\cdot11^3=(\frac{9}{\not11}\cdot\not11)^3=9^3=729\\\\\\b)\ \ \dfrac{(6^3:2^3)^2}{3^4}=\dfrac{(3^3)^2}{3^4}=\dfrac{3^6}{3^4}=3^{6-4}=3^2=9\\\\\\c)\ \ (2\frac{1}{2})^2\cdot(-\frac{2}{5})^2=(\frac{5}{2})^2\cdot(\frac{2}{5})^2=(\frac{\not5^1}{\not2_{1}}\cdot\frac{\not2^1}{\not5_{1}})^2=1^2=1\\\\\\Zastosowane\ \ wzory\\\\a^n\cdot b^n=(a\cdot b)^n\\\\a^n:b^n=(a:b)^n\\\\\frac{a^m}{a^n}=a^{m-n}\\\\(a^m)^n=a^{m\cdot n}[/tex]
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[tex]a)\ \ (\frac{9}{11})^3\cdot11^3=(\frac{9}{\not11}\cdot\not11)^3=9^3=729\\\\\\b)\ \ \dfrac{(6^3:2^3)^2}{3^4}=\dfrac{(3^3)^2}{3^4}=\dfrac{3^6}{3^4}=3^{6-4}=3^2=9\\\\\\c)\ \ (2\frac{1}{2})^2\cdot(-\frac{2}{5})^2=(\frac{5}{2})^2\cdot(\frac{2}{5})^2=(\frac{\not5^1}{\not2_{1}}\cdot\frac{\not2^1}{\not5_{1}})^2=1^2=1\\\\\\Zastosowane\ \ wzory\\\\a^n\cdot b^n=(a\cdot b)^n\\\\a^n:b^n=(a:b)^n\\\\\frac{a^m}{a^n}=a^{m-n}\\\\(a^m)^n=a^{m\cdot n}[/tex]