5. Вычислите: a) (2²/₇)¹⁷(⁷/₁₆)¹⁷; б) 5⁶ * 125 / 25⁴.

а) \((\frac{22}{7})^{17} (\frac{7}{16})^{17} = (\frac{22}{7} \cdot \frac{7}{16})^{17} = (\frac{22 \cdot 7}{7 \cdot 16})^{17} = (\frac{22}{16})^{17} = (\frac{11}{8})^{17}\). б) \(\frac{5^6 \cdot 125}{25^4} = \frac{5^6 \cdot 5^3}{(5^2)^4} = \frac{5^{6+3}}{5^{2\cdot 4}} = \frac{5^9}{5^8} = 5^{9-8} = 5^1 = 5\).